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Simplifying -5z + 16 = 2(2z + -10) Reorder the terms: 16 + -5z = 2(2z + -10) Reorder the terms: 16 + -5z = 2(-10 + 2z) 16 + -5z = (-10 * 2 + 2z * 2) 16 + -5z = (-20 + 4z) Solving 16 + -5z = -20 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 16 + -5z + -4z = -20 + 4z + -4z Combine like terms: -5z + -4z = -9z 16 + -9z = -20 + 4z + -4z Combine like terms: 4z + -4z = 0 16 + -9z = -20 + 0 16 + -9z = -20 Add '-16' to each side of the equation. 16 + -16 + -9z = -20 + -16 Combine like terms: 16 + -16 = 0 0 + -9z = -20 + -16 -9z = -20 + -16 Combine like terms: -20 + -16 = -36 -9z = -36 Divide each side by '-9'. z = 4 Simplifying z = 4
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