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Simplifying 1 + -0.4(z + -10) = 0.8(12z + -10) Reorder the terms: 1 + -0.4(-10 + z) = 0.8(12z + -10) 1 + (-10 * -0.4 + z * -0.4) = 0.8(12z + -10) 1 + (4 + -0.4z) = 0.8(12z + -10) Combine like terms: 1 + 4 = 5 5 + -0.4z = 0.8(12z + -10) Reorder the terms: 5 + -0.4z = 0.8(-10 + 12z) 5 + -0.4z = (-10 * 0.8 + 12z * 0.8) 5 + -0.4z = (-8 + 9.6z) Solving 5 + -0.4z = -8 + 9.6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9.6z' to each side of the equation. 5 + -0.4z + -9.6z = -8 + 9.6z + -9.6z Combine like terms: -0.4z + -9.6z = -10z 5 + -10z = -8 + 9.6z + -9.6z Combine like terms: 9.6z + -9.6z = 0.0 5 + -10z = -8 + 0.0 5 + -10z = -8 Add '-5' to each side of the equation. 5 + -5 + -10z = -8 + -5 Combine like terms: 5 + -5 = 0 0 + -10z = -8 + -5 -10z = -8 + -5 Combine like terms: -8 + -5 = -13 -10z = -13 Divide each side by '-10'. z = 1.3 Simplifying z = 1.3
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