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Simplifying -1.8(z + -8) = 2.8(z + -7) Reorder the terms: -1.8(-8 + z) = 2.8(z + -7) (-8 * -1.8 + z * -1.8) = 2.8(z + -7) (14.4 + -1.8z) = 2.8(z + -7) Reorder the terms: 14.4 + -1.8z = 2.8(-7 + z) 14.4 + -1.8z = (-7 * 2.8 + z * 2.8) 14.4 + -1.8z = (-19.6 + 2.8z) Solving 14.4 + -1.8z = -19.6 + 2.8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2.8z' to each side of the equation. 14.4 + -1.8z + -2.8z = -19.6 + 2.8z + -2.8z Combine like terms: -1.8z + -2.8z = -4.6z 14.4 + -4.6z = -19.6 + 2.8z + -2.8z Combine like terms: 2.8z + -2.8z = 0.0 14.4 + -4.6z = -19.6 + 0.0 14.4 + -4.6z = -19.6 Add '-14.4' to each side of the equation. 14.4 + -14.4 + -4.6z = -19.6 + -14.4 Combine like terms: 14.4 + -14.4 = 0.0 0.0 + -4.6z = -19.6 + -14.4 -4.6z = -19.6 + -14.4 Combine like terms: -19.6 + -14.4 = -34 -4.6z = -34 Divide each side by '-4.6'. z = 7.391304348 Simplifying z = 7.391304348
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