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Simplifying 20 + -6(7z + -19) = -20 + -16z + -15z Reorder the terms: 20 + -6(-19 + 7z) = -20 + -16z + -15z 20 + (-19 * -6 + 7z * -6) = -20 + -16z + -15z 20 + (114 + -42z) = -20 + -16z + -15z Combine like terms: 20 + 114 = 134 134 + -42z = -20 + -16z + -15z Combine like terms: -16z + -15z = -31z 134 + -42z = -20 + -31z Solving 134 + -42z = -20 + -31z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '31z' to each side of the equation. 134 + -42z + 31z = -20 + -31z + 31z Combine like terms: -42z + 31z = -11z 134 + -11z = -20 + -31z + 31z Combine like terms: -31z + 31z = 0 134 + -11z = -20 + 0 134 + -11z = -20 Add '-134' to each side of the equation. 134 + -134 + -11z = -20 + -134 Combine like terms: 134 + -134 = 0 0 + -11z = -20 + -134 -11z = -20 + -134 Combine like terms: -20 + -134 = -154 -11z = -154 Divide each side by '-11'. z = 14 Simplifying z = 14
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