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Simplifying 5(3 + -1z) + -2 = -27 (3 * 5 + -1z * 5) + -2 = -27 (15 + -5z) + -2 = -27 Reorder the terms: 15 + -2 + -5z = -27 Combine like terms: 15 + -2 = 13 13 + -5z = -27 Solving 13 + -5z = -27 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -5z = -27 + -13 Combine like terms: 13 + -13 = 0 0 + -5z = -27 + -13 -5z = -27 + -13 Combine like terms: -27 + -13 = -40 -5z = -40 Divide each side by '-5'. z = 8 Simplifying z = 8
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