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Simplifying 0.7(z + -17) = -0.3(z + -0.5) Reorder the terms: 0.7(-17 + z) = -0.3(z + -0.5) (-17 * 0.7 + z * 0.7) = -0.3(z + -0.5) (-11.9 + 0.7z) = -0.3(z + -0.5) Reorder the terms: -11.9 + 0.7z = -0.3(-0.5 + z) -11.9 + 0.7z = (-0.5 * -0.3 + z * -0.3) -11.9 + 0.7z = (0.15 + -0.3z) Solving -11.9 + 0.7z = 0.15 + -0.3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.3z' to each side of the equation. -11.9 + 0.7z + 0.3z = 0.15 + -0.3z + 0.3z Combine like terms: 0.7z + 0.3z = 1z -11.9 + 1z = 0.15 + -0.3z + 0.3z Combine like terms: -0.3z + 0.3z = 0.0 -11.9 + 1z = 0.15 + 0.0 -11.9 + 1z = 0.15 Add '11.9' to each side of the equation. -11.9 + 11.9 + 1z = 0.15 + 11.9 Combine like terms: -11.9 + 11.9 = 0.0 0.0 + 1z = 0.15 + 11.9 1z = 0.15 + 11.9 Combine like terms: 0.15 + 11.9 = 12.05 1z = 12.05 Divide each side by '1'. z = 12.05 Simplifying z = 12.05
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