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Simplifying 0.5(3 + 2z) + -4z = -3 (3 * 0.5 + 2z * 0.5) + -4z = -3 (1.5 + 1z) + -4z = -3 Combine like terms: 1z + -4z = -3z 1.5 + -3z = -3 Solving 1.5 + -3z = -3 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + -3z = -3 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -3z = -3 + -1.5 -3z = -3 + -1.5 Combine like terms: -3 + -1.5 = -4.5 -3z = -4.5 Divide each side by '-3'. z = 1.5 Simplifying z = 1.5
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