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-5z-\left(-5x\right)+8\left(8z+3x\right)-14z
To find the opposite of 5z-5x, find the opposite of each term.
-5z+5x+8\left(8z+3x\right)-14z
The opposite of -5x is 5x.
-5z+5x+64z+24x-14z
Use the distributive property to multiply 8 by 8z+3x.
59z+5x+24x-14z
Combine -5z and 64z to get 59z.
59z+29x-14z
Combine 5x and 24x to get 29x.
45z+29x
Combine 59z and -14z to get 45z.
-5z-\left(-5x\right)+8\left(8z+3x\right)-14z
To find the opposite of 5z-5x, find the opposite of each term.
-5z+5x+8\left(8z+3x\right)-14z
The opposite of -5x is 5x.
-5z+5x+64z+24x-14z
Use the distributive property to multiply 8 by 8z+3x.
59z+5x+24x-14z
Combine -5z and 64z to get 59z.
59z+29x-14z
Combine 5x and 24x to get 29x.
45z+29x
Combine 59z and -14z to get 45z.