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Simplifying 4 + 1.5(z + 2) = 3.5 + -1 Reorder the terms: 4 + 1.5(2 + z) = 3.5 + -1 4 + (2 * 1.5 + z * 1.5) = 3.5 + -1 4 + (3 + 1.5z) = 3.5 + -1 Combine like terms: 4 + 3 = 7 7 + 1.5z = 3.5 + -1 Combine like terms: 3.5 + -1 = 2.5 7 + 1.5z = 2.5 Solving 7 + 1.5z = 2.5 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 1.5z = 2.5 + -7 Combine like terms: 7 + -7 = 0 0 + 1.5z = 2.5 + -7 1.5z = 2.5 + -7 Combine like terms: 2.5 + -7 = -4.5 1.5z = -4.5 Divide each side by '1.5'. z = -3 Simplifying z = -3
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