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Simplifying 5z + 10 = 2(8z + -12) Reorder the terms: 10 + 5z = 2(8z + -12) Reorder the terms: 10 + 5z = 2(-12 + 8z) 10 + 5z = (-12 * 2 + 8z * 2) 10 + 5z = (-24 + 16z) Solving 10 + 5z = -24 + 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. 10 + 5z + -16z = -24 + 16z + -16z Combine like terms: 5z + -16z = -11z 10 + -11z = -24 + 16z + -16z Combine like terms: 16z + -16z = 0 10 + -11z = -24 + 0 10 + -11z = -24 Add '-10' to each side of the equation. 10 + -10 + -11z = -24 + -10 Combine like terms: 10 + -10 = 0 0 + -11z = -24 + -10 -11z = -24 + -10 Combine like terms: -24 + -10 = -34 -11z = -34 Divide each side by '-11'. z = 3.090909091 Simplifying z = 3.090909091
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