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Simplifying 3z + -9 = 3(15z + -1) Reorder the terms: -9 + 3z = 3(15z + -1) Reorder the terms: -9 + 3z = 3(-1 + 15z) -9 + 3z = (-1 * 3 + 15z * 3) -9 + 3z = (-3 + 45z) Solving -9 + 3z = -3 + 45z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-45z' to each side of the equation. -9 + 3z + -45z = -3 + 45z + -45z Combine like terms: 3z + -45z = -42z -9 + -42z = -3 + 45z + -45z Combine like terms: 45z + -45z = 0 -9 + -42z = -3 + 0 -9 + -42z = -3 Add '9' to each side of the equation. -9 + 9 + -42z = -3 + 9 Combine like terms: -9 + 9 = 0 0 + -42z = -3 + 9 -42z = -3 + 9 Combine like terms: -3 + 9 = 6 -42z = 6 Divide each side by '-42'. z = -0.1428571429 Simplifying z = -0.1428571429
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