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Simplifying -3z + 30 = 3(5z + -2) Reorder the terms: 30 + -3z = 3(5z + -2) Reorder the terms: 30 + -3z = 3(-2 + 5z) 30 + -3z = (-2 * 3 + 5z * 3) 30 + -3z = (-6 + 15z) Solving 30 + -3z = -6 + 15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15z' to each side of the equation. 30 + -3z + -15z = -6 + 15z + -15z Combine like terms: -3z + -15z = -18z 30 + -18z = -6 + 15z + -15z Combine like terms: 15z + -15z = 0 30 + -18z = -6 + 0 30 + -18z = -6 Add '-30' to each side of the equation. 30 + -30 + -18z = -6 + -30 Combine like terms: 30 + -30 = 0 0 + -18z = -6 + -30 -18z = -6 + -30 Combine like terms: -6 + -30 = -36 -18z = -36 Divide each side by '-18'. z = 2 Simplifying z = 2
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