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Simplifying -1.8(z + -18) = 1.8(z + -1.5) Reorder the terms: -1.8(-18 + z) = 1.8(z + -1.5) (-18 * -1.8 + z * -1.8) = 1.8(z + -1.5) (32.4 + -1.8z) = 1.8(z + -1.5) Reorder the terms: 32.4 + -1.8z = 1.8(-1.5 + z) 32.4 + -1.8z = (-1.5 * 1.8 + z * 1.8) 32.4 + -1.8z = (-2.7 + 1.8z) Solving 32.4 + -1.8z = -2.7 + 1.8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.8z' to each side of the equation. 32.4 + -1.8z + -1.8z = -2.7 + 1.8z + -1.8z Combine like terms: -1.8z + -1.8z = -3.6z 32.4 + -3.6z = -2.7 + 1.8z + -1.8z Combine like terms: 1.8z + -1.8z = 0.0 32.4 + -3.6z = -2.7 + 0.0 32.4 + -3.6z = -2.7 Add '-32.4' to each side of the equation. 32.4 + -32.4 + -3.6z = -2.7 + -32.4 Combine like terms: 32.4 + -32.4 = 0.0 0.0 + -3.6z = -2.7 + -32.4 -3.6z = -2.7 + -32.4 Combine like terms: -2.7 + -32.4 = -35.1 -3.6z = -35.1 Divide each side by '-3.6'. z = 9.75 Simplifying z = 9.75
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