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Simplifying -0.1(z + -16) = 0.2(z + 0.5) Reorder the terms: -0.1(-16 + z) = 0.2(z + 0.5) (-16 * -0.1 + z * -0.1) = 0.2(z + 0.5) (1.6 + -0.1z) = 0.2(z + 0.5) Reorder the terms: 1.6 + -0.1z = 0.2(0.5 + z) 1.6 + -0.1z = (0.5 * 0.2 + z * 0.2) 1.6 + -0.1z = (0.1 + 0.2z) Solving 1.6 + -0.1z = 0.1 + 0.2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.2z' to each side of the equation. 1.6 + -0.1z + -0.2z = 0.1 + 0.2z + -0.2z Combine like terms: -0.1z + -0.2z = -0.3z 1.6 + -0.3z = 0.1 + 0.2z + -0.2z Combine like terms: 0.2z + -0.2z = 0.0 1.6 + -0.3z = 0.1 + 0.0 1.6 + -0.3z = 0.1 Add '-1.6' to each side of the equation. 1.6 + -1.6 + -0.3z = 0.1 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + -0.3z = 0.1 + -1.6 -0.3z = 0.1 + -1.6 Combine like terms: 0.1 + -1.6 = -1.5 -0.3z = -1.5 Divide each side by '-0.3'. z = 5 Simplifying z = 5
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