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Simplifying 0.5(4z + 8) + -16 = 0.12(9z + -12) Reorder the terms: 0.5(8 + 4z) + -16 = 0.12(9z + -12) (8 * 0.5 + 4z * 0.5) + -16 = 0.12(9z + -12) (4 + 2z) + -16 = 0.12(9z + -12) Reorder the terms: 4 + -16 + 2z = 0.12(9z + -12) Combine like terms: 4 + -16 = -12 -12 + 2z = 0.12(9z + -12) Reorder the terms: -12 + 2z = 0.12(-12 + 9z) -12 + 2z = (-12 * 0.12 + 9z * 0.12) -12 + 2z = (-1.44 + 1.08z) Solving -12 + 2z = -1.44 + 1.08z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.08z' to each side of the equation. -12 + 2z + -1.08z = -1.44 + 1.08z + -1.08z Combine like terms: 2z + -1.08z = 0.92z -12 + 0.92z = -1.44 + 1.08z + -1.08z Combine like terms: 1.08z + -1.08z = 0.00 -12 + 0.92z = -1.44 + 0.00 -12 + 0.92z = -1.44 Add '12' to each side of the equation. -12 + 12 + 0.92z = -1.44 + 12 Combine like terms: -12 + 12 = 0 0 + 0.92z = -1.44 + 12 0.92z = -1.44 + 12 Combine like terms: -1.44 + 12 = 10.56 0.92z = 10.56 Divide each side by '0.92'. z = 11.47826087 Simplifying z = 11.47826087
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