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Simplifying -0.8(z + -0.5) = -0.4(z + -17) Reorder the terms: -0.8(-0.5 + z) = -0.4(z + -17) (-0.5 * -0.8 + z * -0.8) = -0.4(z + -17) (0.4 + -0.8z) = -0.4(z + -17) Reorder the terms: 0.4 + -0.8z = -0.4(-17 + z) 0.4 + -0.8z = (-17 * -0.4 + z * -0.4) 0.4 + -0.8z = (6.8 + -0.4z) Solving 0.4 + -0.8z = 6.8 + -0.4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.4z' to each side of the equation. 0.4 + -0.8z + 0.4z = 6.8 + -0.4z + 0.4z Combine like terms: -0.8z + 0.4z = -0.4z 0.4 + -0.4z = 6.8 + -0.4z + 0.4z Combine like terms: -0.4z + 0.4z = 0.0 0.4 + -0.4z = 6.8 + 0.0 0.4 + -0.4z = 6.8 Add '-0.4' to each side of the equation. 0.4 + -0.4 + -0.4z = 6.8 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -0.4z = 6.8 + -0.4 -0.4z = 6.8 + -0.4 Combine like terms: 6.8 + -0.4 = 6.4 -0.4z = 6.4 Divide each side by '-0.4'. z = -16 Simplifying z = -16
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