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Simplifying 15(0.3 + -1z) + 14.5z = 2(0.5z + -10) (0.3 * 15 + -1z * 15) + 14.5z = 2(0.5z + -10) (4.5 + -15z) + 14.5z = 2(0.5z + -10) Combine like terms: -15z + 14.5z = -0.5z 4.5 + -0.5z = 2(0.5z + -10) Reorder the terms: 4.5 + -0.5z = 2(-10 + 0.5z) 4.5 + -0.5z = (-10 * 2 + 0.5z * 2) 4.5 + -0.5z = (-20 + 1z) Solving 4.5 + -0.5z = -20 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 4.5 + -0.5z + -1z = -20 + 1z + -1z Combine like terms: -0.5z + -1z = -1.5z 4.5 + -1.5z = -20 + 1z + -1z Combine like terms: 1z + -1z = 0 4.5 + -1.5z = -20 + 0 4.5 + -1.5z = -20 Add '-4.5' to each side of the equation. 4.5 + -4.5 + -1.5z = -20 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -1.5z = -20 + -4.5 -1.5z = -20 + -4.5 Combine like terms: -20 + -4.5 = -24.5 -1.5z = -24.5 Divide each side by '-1.5'. z = 16.33333333 Simplifying z = 16.33333333
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