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Simplifying -2.6(z + -1.5) = -0.6(z + -18) Reorder the terms: -2.6(-1.5 + z) = -0.6(z + -18) (-1.5 * -2.6 + z * -2.6) = -0.6(z + -18) (3.9 + -2.6z) = -0.6(z + -18) Reorder the terms: 3.9 + -2.6z = -0.6(-18 + z) 3.9 + -2.6z = (-18 * -0.6 + z * -0.6) 3.9 + -2.6z = (10.8 + -0.6z) Solving 3.9 + -2.6z = 10.8 + -0.6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.6z' to each side of the equation. 3.9 + -2.6z + 0.6z = 10.8 + -0.6z + 0.6z Combine like terms: -2.6z + 0.6z = -2z 3.9 + -2z = 10.8 + -0.6z + 0.6z Combine like terms: -0.6z + 0.6z = 0.0 3.9 + -2z = 10.8 + 0.0 3.9 + -2z = 10.8 Add '-3.9' to each side of the equation. 3.9 + -3.9 + -2z = 10.8 + -3.9 Combine like terms: 3.9 + -3.9 = 0.0 0.0 + -2z = 10.8 + -3.9 -2z = 10.8 + -3.9 Combine like terms: 10.8 + -3.9 = 6.9 -2z = 6.9 Divide each side by '-2'. z = -3.45 Simplifying z = -3.45
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