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Simplifying 3(2z + -2) = 5(z + 5) Reorder the terms: 3(-2 + 2z) = 5(z + 5) (-2 * 3 + 2z * 3) = 5(z + 5) (-6 + 6z) = 5(z + 5) Reorder the terms: -6 + 6z = 5(5 + z) -6 + 6z = (5 * 5 + z * 5) -6 + 6z = (25 + 5z) Solving -6 + 6z = 25 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -6 + 6z + -5z = 25 + 5z + -5z Combine like terms: 6z + -5z = 1z -6 + 1z = 25 + 5z + -5z Combine like terms: 5z + -5z = 0 -6 + 1z = 25 + 0 -6 + 1z = 25 Add '6' to each side of the equation. -6 + 6 + 1z = 25 + 6 Combine like terms: -6 + 6 = 0 0 + 1z = 25 + 6 1z = 25 + 6 Combine like terms: 25 + 6 = 31 1z = 31 Divide each side by '1'. z = 31 Simplifying z = 31
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