Solve -(-12)-left|-14right|+left|-21right|-left|-61right|-(-3)

$$-(-12)- \left| -14 \right| + \left| -21 \right| - \left| -61 \right| -(-3)$$

Evaluate

$$-39$$

Solution Steps

The opposite of -12 is 12.

$$12-|-14|+|-21|-|-61|-\left(-3\right)$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -14 is 14.

$$12-14+|-21|-|-61|-\left(-3\right)$$

Subtract 14 from 12 to get -2.

$$-2+|-21|-|-61|-\left(-3\right)$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -21 is 21.

$$-2+21-|-61|-\left(-3\right)$$

Add -2 and 21 to get 19.

$$19-|-61|-\left(-3\right)$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -61 is 61.

$$19-61-\left(-3\right)$$

Subtract 61 from 19 to get -42.

$$-42-\left(-3\right)$$

The opposite of -3 is 3.

$$-42+3$$

Add -42 and 3 to get -39.

$$-39$$

Factor

$$-39$$