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Simplifying -4z + 64 = 4(4z + -4) Reorder the terms: 64 + -4z = 4(4z + -4) Reorder the terms: 64 + -4z = 4(-4 + 4z) 64 + -4z = (-4 * 4 + 4z * 4) 64 + -4z = (-16 + 16z) Solving 64 + -4z = -16 + 16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16z' to each side of the equation. 64 + -4z + -16z = -16 + 16z + -16z Combine like terms: -4z + -16z = -20z 64 + -20z = -16 + 16z + -16z Combine like terms: 16z + -16z = 0 64 + -20z = -16 + 0 64 + -20z = -16 Add '-64' to each side of the equation. 64 + -64 + -20z = -16 + -64 Combine like terms: 64 + -64 = 0 0 + -20z = -16 + -64 -20z = -16 + -64 Combine like terms: -16 + -64 = -80 -20z = -80 Divide each side by '-20'. z = 4 Simplifying z = 4
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