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Simplifying 0.7(z + -17) = -0.3(2 + -0.5) Reorder the terms: 0.7(-17 + z) = -0.3(2 + -0.5) (-17 * 0.7 + z * 0.7) = -0.3(2 + -0.5) (-11.9 + 0.7z) = -0.3(2 + -0.5) Combine like terms: 2 + -0.5 = 1.5 -11.9 + 0.7z = -0.3(1.5) Multiply -0.3 * 1.5 -11.9 + 0.7z = -0.45 Solving -11.9 + 0.7z = -0.45 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '11.9' to each side of the equation. -11.9 + 11.9 + 0.7z = -0.45 + 11.9 Combine like terms: -11.9 + 11.9 = 0.0 0.0 + 0.7z = -0.45 + 11.9 0.7z = -0.45 + 11.9 Combine like terms: -0.45 + 11.9 = 11.45 0.7z = 11.45 Divide each side by '0.7'. z = 16.35714286 Simplifying z = 16.35714286
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