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Simplifying 15(0.3 + -2) + 14.5z = 2(0.5z + -10) Combine like terms: 0.3 + -2 = -1.7 15(-1.7) + 14.5z = 2(0.5z + -10) Multiply 15 * -1.7 -25.5 + 14.5z = 2(0.5z + -10) Reorder the terms: -25.5 + 14.5z = 2(-10 + 0.5z) -25.5 + 14.5z = (-10 * 2 + 0.5z * 2) -25.5 + 14.5z = (-20 + 1z) Solving -25.5 + 14.5z = -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. -25.5 + 14.5z + -1z = -20 + 1z + -1z Combine like terms: 14.5z + -1z = 13.5z -25.5 + 13.5z = -20 + 1z + -1z Combine like terms: 1z + -1z = 0 -25.5 + 13.5z = -20 + 0 -25.5 + 13.5z = -20 Add '25.5' to each side of the equation. -25.5 + 25.5 + 13.5z = -20 + 25.5 Combine like terms: -25.5 + 25.5 = 0.0 0.0 + 13.5z = -20 + 25.5 13.5z = -20 + 25.5 Combine like terms: -20 + 25.5 = 5.5 13.5z = 5.5 Divide each side by '13.5'. z = 0.4074074074 Simplifying z = 0.4074074074
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