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Simplifying -3(5z + 5) + -3(z + -9) = 0 Reorder the terms: -3(5 + 5z) + -3(z + -9) = 0 (5 * -3 + 5z * -3) + -3(z + -9) = 0 (-15 + -15z) + -3(z + -9) = 0 Reorder the terms: -15 + -15z + -3(-9 + z) = 0 -15 + -15z + (-9 * -3 + z * -3) = 0 -15 + -15z + (27 + -3z) = 0 Reorder the terms: -15 + 27 + -15z + -3z = 0 Combine like terms: -15 + 27 = 12 12 + -15z + -3z = 0 Combine like terms: -15z + -3z = -18z 12 + -18z = 0 Solving 12 + -18z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -18z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -18z = 0 + -12 -18z = 0 + -12 Combine like terms: 0 + -12 = -12 -18z = -12 Divide each side by '-18'. z = 0.6666666667 Simplifying z = 0.6666666667
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