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Simplifying 4(z + 3) = 2z + -15 Reorder the terms: 4(3 + z) = 2z + -15 (3 * 4 + z * 4) = 2z + -15 (12 + 4z) = 2z + -15 Reorder the terms: 12 + 4z = -15 + 2z Solving 12 + 4z = -15 + 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. 12 + 4z + -2z = -15 + 2z + -2z Combine like terms: 4z + -2z = 2z 12 + 2z = -15 + 2z + -2z Combine like terms: 2z + -2z = 0 12 + 2z = -15 + 0 12 + 2z = -15 Add '-12' to each side of the equation. 12 + -12 + 2z = -15 + -12 Combine like terms: 12 + -12 = 0 0 + 2z = -15 + -12 2z = -15 + -12 Combine like terms: -15 + -12 = -27 2z = -27 Divide each side by '2'. z = -13.5 Simplifying z = -13.5
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