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Simplifying 1.6(z + 7) + -1(5.9 + 0.6z) = -7 + 6 Reorder the terms: 1.6(7 + z) + -1(5.9 + 0.6z) = -7 + 6 (7 * 1.6 + z * 1.6) + -1(5.9 + 0.6z) = -7 + 6 (11.2 + 1.6z) + -1(5.9 + 0.6z) = -7 + 6 11.2 + 1.6z + (5.9 * -1 + 0.6z * -1) = -7 + 6 11.2 + 1.6z + (-5.9 + -0.6z) = -7 + 6 Reorder the terms: 11.2 + -5.9 + 1.6z + -0.6z = -7 + 6 Combine like terms: 11.2 + -5.9 = 5.3 5.3 + 1.6z + -0.6z = -7 + 6 Combine like terms: 1.6z + -0.6z = 1z 5.3 + 1z = -7 + 6 Combine like terms: -7 + 6 = -1 5.3 + 1z = -1 Solving 5.3 + 1z = -1 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5.3' to each side of the equation. 5.3 + -5.3 + 1z = -1 + -5.3 Combine like terms: 5.3 + -5.3 = 0.0 0.0 + 1z = -1 + -5.3 1z = -1 + -5.3 Combine like terms: -1 + -5.3 = -6.3 1z = -6.3 Divide each side by '1'. z = -6.3 Simplifying z = -6.3
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