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Simplifying 0.5(2n + -6) = 0.2(8n + -10) Reorder the terms: 0.5(-6 + 2n) = 0.2(8n + -10) (-6 * 0.5 + 2n * 0.5) = 0.2(8n + -10) (-3 + 1n) = 0.2(8n + -10) Reorder the terms: -3 + 1n = 0.2(-10 + 8n) -3 + 1n = (-10 * 0.2 + 8n * 0.2) -3 + 1n = (-2 + 1.6n) Solving -3 + 1n = -2 + 1.6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.6n' to each side of the equation. -3 + 1n + -1.6n = -2 + 1.6n + -1.6n Combine like terms: 1n + -1.6n = -0.6n -3 + -0.6n = -2 + 1.6n + -1.6n Combine like terms: 1.6n + -1.6n = 0.0 -3 + -0.6n = -2 + 0.0 -3 + -0.6n = -2 Add '3' to each side of the equation. -3 + 3 + -0.6n = -2 + 3 Combine like terms: -3 + 3 = 0 0 + -0.6n = -2 + 3 -0.6n = -2 + 3 Combine like terms: -2 + 3 = 1 -0.6n = 1 Divide each side by '-0.6'. n = -1.666666667 Simplifying n = -1.666666667
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