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Simplifying 3(2n + -5) + -9 = 7(n + -2) + 8 Reorder the terms: 3(-5 + 2n) + -9 = 7(n + -2) + 8 (-5 * 3 + 2n * 3) + -9 = 7(n + -2) + 8 (-15 + 6n) + -9 = 7(n + -2) + 8 Reorder the terms: -15 + -9 + 6n = 7(n + -2) + 8 Combine like terms: -15 + -9 = -24 -24 + 6n = 7(n + -2) + 8 Reorder the terms: -24 + 6n = 7(-2 + n) + 8 -24 + 6n = (-2 * 7 + n * 7) + 8 -24 + 6n = (-14 + 7n) + 8 Reorder the terms: -24 + 6n = -14 + 8 + 7n Combine like terms: -14 + 8 = -6 -24 + 6n = -6 + 7n Solving -24 + 6n = -6 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -24 + 6n + -7n = -6 + 7n + -7n Combine like terms: 6n + -7n = -1n -24 + -1n = -6 + 7n + -7n Combine like terms: 7n + -7n = 0 -24 + -1n = -6 + 0 -24 + -1n = -6 Add '24' to each side of the equation. -24 + 24 + -1n = -6 + 24 Combine like terms: -24 + 24 = 0 0 + -1n = -6 + 24 -1n = -6 + 24 Combine like terms: -6 + 24 = 18 -1n = 18 Divide each side by '-1'. n = -18 Simplifying n = -18
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