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Simplifying 8z + -3.9 = 4.4 + 8.5(z + -4) Reorder the terms: -3.9 + 8z = 4.4 + 8.5(z + -4) Reorder the terms: -3.9 + 8z = 4.4 + 8.5(-4 + z) -3.9 + 8z = 4.4 + (-4 * 8.5 + z * 8.5) -3.9 + 8z = 4.4 + (-34 + 8.5z) Combine like terms: 4.4 + -34 = -29.6 -3.9 + 8z = -29.6 + 8.5z Solving -3.9 + 8z = -29.6 + 8.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8.5z' to each side of the equation. -3.9 + 8z + -8.5z = -29.6 + 8.5z + -8.5z Combine like terms: 8z + -8.5z = -0.5z -3.9 + -0.5z = -29.6 + 8.5z + -8.5z Combine like terms: 8.5z + -8.5z = 0.0 -3.9 + -0.5z = -29.6 + 0.0 -3.9 + -0.5z = -29.6 Add '3.9' to each side of the equation. -3.9 + 3.9 + -0.5z = -29.6 + 3.9 Combine like terms: -3.9 + 3.9 = 0.0 0.0 + -0.5z = -29.6 + 3.9 -0.5z = -29.6 + 3.9 Combine like terms: -29.6 + 3.9 = -25.7 -0.5z = -25.7 Divide each side by '-0.5'. z = 51.4 Simplifying z = 51.4
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