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Simplifying 7n + -8 + -2 = -2(n + -4) + 6(2n + -1) Reorder the terms: -8 + -2 + 7n = -2(n + -4) + 6(2n + -1) Combine like terms: -8 + -2 = -10 -10 + 7n = -2(n + -4) + 6(2n + -1) Reorder the terms: -10 + 7n = -2(-4 + n) + 6(2n + -1) -10 + 7n = (-4 * -2 + n * -2) + 6(2n + -1) -10 + 7n = (8 + -2n) + 6(2n + -1) Reorder the terms: -10 + 7n = 8 + -2n + 6(-1 + 2n) -10 + 7n = 8 + -2n + (-1 * 6 + 2n * 6) -10 + 7n = 8 + -2n + (-6 + 12n) Reorder the terms: -10 + 7n = 8 + -6 + -2n + 12n Combine like terms: 8 + -6 = 2 -10 + 7n = 2 + -2n + 12n Combine like terms: -2n + 12n = 10n -10 + 7n = 2 + 10n Solving -10 + 7n = 2 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -10 + 7n + -10n = 2 + 10n + -10n Combine like terms: 7n + -10n = -3n -10 + -3n = 2 + 10n + -10n Combine like terms: 10n + -10n = 0 -10 + -3n = 2 + 0 -10 + -3n = 2 Add '10' to each side of the equation. -10 + 10 + -3n = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -3n = 2 + 10 -3n = 2 + 10 Combine like terms: 2 + 10 = 12 -3n = 12 Divide each side by '-3'. n = -4 Simplifying n = -4
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