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Simplifying 2z + 3(1 + -0.5z) = -1z + -15 2z + (1 * 3 + -0.5z * 3) = -1z + -15 2z + (3 + -1.5z) = -1z + -15 Reorder the terms: 3 + 2z + -1.5z = -1z + -15 Combine like terms: 2z + -1.5z = 0.5z 3 + 0.5z = -1z + -15 Reorder the terms: 3 + 0.5z = -15 + -1z Solving 3 + 0.5z = -15 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 3 + 0.5z + z = -15 + -1z + z Combine like terms: 0.5z + z = 1.5z 3 + 1.5z = -15 + -1z + z Combine like terms: -1z + z = 0 3 + 1.5z = -15 + 0 3 + 1.5z = -15 Add '-3' to each side of the equation. 3 + -3 + 1.5z = -15 + -3 Combine like terms: 3 + -3 = 0 0 + 1.5z = -15 + -3 1.5z = -15 + -3 Combine like terms: -15 + -3 = -18 1.5z = -18 Divide each side by '1.5'. z = -12 Simplifying z = -12
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