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Simplifying 2(3z + -7) + -5(z + -3) = -9 Reorder the terms: 2(-7 + 3z) + -5(z + -3) = -9 (-7 * 2 + 3z * 2) + -5(z + -3) = -9 (-14 + 6z) + -5(z + -3) = -9 Reorder the terms: -14 + 6z + -5(-3 + z) = -9 -14 + 6z + (-3 * -5 + z * -5) = -9 -14 + 6z + (15 + -5z) = -9 Reorder the terms: -14 + 15 + 6z + -5z = -9 Combine like terms: -14 + 15 = 1 1 + 6z + -5z = -9 Combine like terms: 6z + -5z = 1z 1 + 1z = -9 Solving 1 + 1z = -9 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1z = -9 + -1 Combine like terms: 1 + -1 = 0 0 + 1z = -9 + -1 1z = -9 + -1 Combine like terms: -9 + -1 = -10 1z = -10 Divide each side by '1'. z = -10 Simplifying z = -10
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