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Simplifying 5(1.6 + -1z) = 3(z + 6.4) (1.6 * 5 + -1z * 5) = 3(z + 6.4) (8 + -5z) = 3(z + 6.4) Reorder the terms: 8 + -5z = 3(6.4 + z) 8 + -5z = (6.4 * 3 + z * 3) 8 + -5z = (19.2 + 3z) Solving 8 + -5z = 19.2 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 8 + -5z + -3z = 19.2 + 3z + -3z Combine like terms: -5z + -3z = -8z 8 + -8z = 19.2 + 3z + -3z Combine like terms: 3z + -3z = 0 8 + -8z = 19.2 + 0 8 + -8z = 19.2 Add '-8' to each side of the equation. 8 + -8 + -8z = 19.2 + -8 Combine like terms: 8 + -8 = 0 0 + -8z = 19.2 + -8 -8z = 19.2 + -8 Combine like terms: 19.2 + -8 = 11.2 -8z = 11.2 Divide each side by '-8'. z = -1.4 Simplifying z = -1.4
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