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Simplifying 2(-16 + 8z) = 4(7z + 16) (-16 * 2 + 8z * 2) = 4(7z + 16) (-32 + 16z) = 4(7z + 16) Reorder the terms: -32 + 16z = 4(16 + 7z) -32 + 16z = (16 * 4 + 7z * 4) -32 + 16z = (64 + 28z) Solving -32 + 16z = 64 + 28z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-28z' to each side of the equation. -32 + 16z + -28z = 64 + 28z + -28z Combine like terms: 16z + -28z = -12z -32 + -12z = 64 + 28z + -28z Combine like terms: 28z + -28z = 0 -32 + -12z = 64 + 0 -32 + -12z = 64 Add '32' to each side of the equation. -32 + 32 + -12z = 64 + 32 Combine like terms: -32 + 32 = 0 0 + -12z = 64 + 32 -12z = 64 + 32 Combine like terms: 64 + 32 = 96 -12z = 96 Divide each side by '-12'. z = -8 Simplifying z = -8
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