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Simplifying -2(6z + -3) + 13(z + -7) = -81 + -9 Reorder the terms: -2(-3 + 6z) + 13(z + -7) = -81 + -9 (-3 * -2 + 6z * -2) + 13(z + -7) = -81 + -9 (6 + -12z) + 13(z + -7) = -81 + -9 Reorder the terms: 6 + -12z + 13(-7 + z) = -81 + -9 6 + -12z + (-7 * 13 + z * 13) = -81 + -9 6 + -12z + (-91 + 13z) = -81 + -9 Reorder the terms: 6 + -91 + -12z + 13z = -81 + -9 Combine like terms: 6 + -91 = -85 -85 + -12z + 13z = -81 + -9 Combine like terms: -12z + 13z = 1z -85 + 1z = -81 + -9 Combine like terms: -81 + -9 = -90 -85 + 1z = -90 Solving -85 + 1z = -90 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '85' to each side of the equation. -85 + 85 + 1z = -90 + 85 Combine like terms: -85 + 85 = 0 0 + 1z = -90 + 85 1z = -90 + 85 Combine like terms: -90 + 85 = -5 1z = -5 Divide each side by '1'. z = -5 Simplifying z = -5
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