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Simplifying 0.125(n + 6) = -0.125(n + 2) Reorder the terms: 0.125(6 + n) = -0.125(n + 2) (6 * 0.125 + n * 0.125) = -0.125(n + 2) (0.75 + 0.125n) = -0.125(n + 2) Reorder the terms: 0.75 + 0.125n = -0.125(2 + n) 0.75 + 0.125n = (2 * -0.125 + n * -0.125) 0.75 + 0.125n = (-0.25 + -0.125n) Solving 0.75 + 0.125n = -0.25 + -0.125n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.125n' to each side of the equation. 0.75 + 0.125n + 0.125n = -0.25 + -0.125n + 0.125n Combine like terms: 0.125n + 0.125n = 0.25n 0.75 + 0.25n = -0.25 + -0.125n + 0.125n Combine like terms: -0.125n + 0.125n = 0.000 0.75 + 0.25n = -0.25 + 0.000 0.75 + 0.25n = -0.25 Add '-0.75' to each side of the equation. 0.75 + -0.75 + 0.25n = -0.25 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + 0.25n = -0.25 + -0.75 0.25n = -0.25 + -0.75 Combine like terms: -0.25 + -0.75 = -1 0.25n = -1 Divide each side by '0.25'. n = -4 Simplifying n = -4
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