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Simplifying -2(z + -7) + -1(1 + 9z) = -12z Reorder the terms: -2(-7 + z) + -1(1 + 9z) = -12z (-7 * -2 + z * -2) + -1(1 + 9z) = -12z (14 + -2z) + -1(1 + 9z) = -12z 14 + -2z + (1 * -1 + 9z * -1) = -12z 14 + -2z + (-1 + -9z) = -12z Reorder the terms: 14 + -1 + -2z + -9z = -12z Combine like terms: 14 + -1 = 13 13 + -2z + -9z = -12z Combine like terms: -2z + -9z = -11z 13 + -11z = -12z Solving 13 + -11z = -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. 13 + -11z + 12z = -12z + 12z Combine like terms: -11z + 12z = 1z 13 + 1z = -12z + 12z Combine like terms: -12z + 12z = 0 13 + 1z = 0 Add '-13' to each side of the equation. 13 + -13 + 1z = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 1z = 0 + -13 1z = 0 + -13 Combine like terms: 0 + -13 = -13 1z = -13 Divide each side by '1'. z = -13 Simplifying z = -13
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