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Simplifying 9z + 5 = 2(5z + -4) Reorder the terms: 5 + 9z = 2(5z + -4) Reorder the terms: 5 + 9z = 2(-4 + 5z) 5 + 9z = (-4 * 2 + 5z * 2) 5 + 9z = (-8 + 10z) Solving 5 + 9z = -8 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 5 + 9z + -10z = -8 + 10z + -10z Combine like terms: 9z + -10z = -1z 5 + -1z = -8 + 10z + -10z Combine like terms: 10z + -10z = 0 5 + -1z = -8 + 0 5 + -1z = -8 Add '-5' to each side of the equation. 5 + -5 + -1z = -8 + -5 Combine like terms: 5 + -5 = 0 0 + -1z = -8 + -5 -1z = -8 + -5 Combine like terms: -8 + -5 = -13 -1z = -13 Divide each side by '-1'. z = 13 Simplifying z = 13
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