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Simplifying 5(z + 3) * 9 = 3(z + -3) + 6 Reorder the terms: 5(3 + z) * 9 = 3(z + -3) + 6 Reorder the terms for easier multiplication: 5 * 9(3 + z) = 3(z + -3) + 6 Multiply 5 * 9 45(3 + z) = 3(z + -3) + 6 (3 * 45 + z * 45) = 3(z + -3) + 6 (135 + 45z) = 3(z + -3) + 6 Reorder the terms: 135 + 45z = 3(-3 + z) + 6 135 + 45z = (-3 * 3 + z * 3) + 6 135 + 45z = (-9 + 3z) + 6 Reorder the terms: 135 + 45z = -9 + 6 + 3z Combine like terms: -9 + 6 = -3 135 + 45z = -3 + 3z Solving 135 + 45z = -3 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 135 + 45z + -3z = -3 + 3z + -3z Combine like terms: 45z + -3z = 42z 135 + 42z = -3 + 3z + -3z Combine like terms: 3z + -3z = 0 135 + 42z = -3 + 0 135 + 42z = -3 Add '-135' to each side of the equation. 135 + -135 + 42z = -3 + -135 Combine like terms: 135 + -135 = 0 0 + 42z = -3 + -135 42z = -3 + -135 Combine like terms: -3 + -135 = -138 42z = -138 Divide each side by '42'. z = -3.285714286 Simplifying z = -3.285714286
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