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Simplifying -4z + 2(-5z + 14) = 2(-6z + 16) Reorder the terms: -4z + 2(14 + -5z) = 2(-6z + 16) -4z + (14 * 2 + -5z * 2) = 2(-6z + 16) -4z + (28 + -10z) = 2(-6z + 16) Reorder the terms: 28 + -4z + -10z = 2(-6z + 16) Combine like terms: -4z + -10z = -14z 28 + -14z = 2(-6z + 16) Reorder the terms: 28 + -14z = 2(16 + -6z) 28 + -14z = (16 * 2 + -6z * 2) 28 + -14z = (32 + -12z) Solving 28 + -14z = 32 + -12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12z' to each side of the equation. 28 + -14z + 12z = 32 + -12z + 12z Combine like terms: -14z + 12z = -2z 28 + -2z = 32 + -12z + 12z Combine like terms: -12z + 12z = 0 28 + -2z = 32 + 0 28 + -2z = 32 Add '-28' to each side of the equation. 28 + -28 + -2z = 32 + -28 Combine like terms: 28 + -28 = 0 0 + -2z = 32 + -28 -2z = 32 + -28 Combine like terms: 32 + -28 = 4 -2z = 4 Divide each side by '-2'. z = -2 Simplifying z = -2
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