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Simplifying 1.5(6 + -1z) = z (6 * 1.5 + -1z * 1.5) = z (9 + -1.5z) = z Solving 9 + -1.5z = z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 9 + -1.5z + -1z = z + -1z Combine like terms: -1.5z + -1z = -2.5z 9 + -2.5z = z + -1z Combine like terms: z + -1z = 0 9 + -2.5z = 0 Add '-9' to each side of the equation. 9 + -9 + -2.5z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2.5z = 0 + -9 -2.5z = 0 + -9 Combine like terms: 0 + -9 = -9 -2.5z = -9 Divide each side by '-2.5'. z = 3.6 Simplifying z = 3.6
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