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Simplifying 3(4z + -10) = 6z + -60 Reorder the terms: 3(-10 + 4z) = 6z + -60 (-10 * 3 + 4z * 3) = 6z + -60 (-30 + 12z) = 6z + -60 Reorder the terms: -30 + 12z = -60 + 6z Solving -30 + 12z = -60 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -30 + 12z + -6z = -60 + 6z + -6z Combine like terms: 12z + -6z = 6z -30 + 6z = -60 + 6z + -6z Combine like terms: 6z + -6z = 0 -30 + 6z = -60 + 0 -30 + 6z = -60 Add '30' to each side of the equation. -30 + 30 + 6z = -60 + 30 Combine like terms: -30 + 30 = 0 0 + 6z = -60 + 30 6z = -60 + 30 Combine like terms: -60 + 30 = -30 6z = -30 Divide each side by '6'. z = -5 Simplifying z = -5
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