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Simplifying 3(z + 5) = 2z + -4 Reorder the terms: 3(5 + z) = 2z + -4 (5 * 3 + z * 3) = 2z + -4 (15 + 3z) = 2z + -4 Reorder the terms: 15 + 3z = -4 + 2z Solving 15 + 3z = -4 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 15 + 3z + -2z = -4 + 2z + -2z Combine like terms: 3z + -2z = 1z 15 + 1z = -4 + 2z + -2z Combine like terms: 2z + -2z = 0 15 + 1z = -4 + 0 15 + 1z = -4 Add '-15' to each side of the equation. 15 + -15 + 1z = -4 + -15 Combine like terms: 15 + -15 = 0 0 + 1z = -4 + -15 1z = -4 + -15 Combine like terms: -4 + -15 = -19 1z = -19 Divide each side by '1'. z = -19 Simplifying z = -19
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