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Simplifying 0.75(n + -13) = -2(9 + n) Reorder the terms: 0.75(-13 + n) = -2(9 + n) (-13 * 0.75 + n * 0.75) = -2(9 + n) (-9.75 + 0.75n) = -2(9 + n) -9.75 + 0.75n = (9 * -2 + n * -2) -9.75 + 0.75n = (-18 + -2n) Solving -9.75 + 0.75n = -18 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -9.75 + 0.75n + 2n = -18 + -2n + 2n Combine like terms: 0.75n + 2n = 2.75n -9.75 + 2.75n = -18 + -2n + 2n Combine like terms: -2n + 2n = 0 -9.75 + 2.75n = -18 + 0 -9.75 + 2.75n = -18 Add '9.75' to each side of the equation. -9.75 + 9.75 + 2.75n = -18 + 9.75 Combine like terms: -9.75 + 9.75 = 0.00 0.00 + 2.75n = -18 + 9.75 2.75n = -18 + 9.75 Combine like terms: -18 + 9.75 = -8.25 2.75n = -8.25 Divide each side by '2.75'. n = -3 Simplifying n = -3
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