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Simplifying 7n + -8 + 2n + -3 = 2(7n + 6) + -4(6 + n) Reorder the terms: -8 + -3 + 7n + 2n = 2(7n + 6) + -4(6 + n) Combine like terms: -8 + -3 = -11 -11 + 7n + 2n = 2(7n + 6) + -4(6 + n) Combine like terms: 7n + 2n = 9n -11 + 9n = 2(7n + 6) + -4(6 + n) Reorder the terms: -11 + 9n = 2(6 + 7n) + -4(6 + n) -11 + 9n = (6 * 2 + 7n * 2) + -4(6 + n) -11 + 9n = (12 + 14n) + -4(6 + n) -11 + 9n = 12 + 14n + (6 * -4 + n * -4) -11 + 9n = 12 + 14n + (-24 + -4n) Reorder the terms: -11 + 9n = 12 + -24 + 14n + -4n Combine like terms: 12 + -24 = -12 -11 + 9n = -12 + 14n + -4n Combine like terms: 14n + -4n = 10n -11 + 9n = -12 + 10n Solving -11 + 9n = -12 + 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. -11 + 9n + -10n = -12 + 10n + -10n Combine like terms: 9n + -10n = -1n -11 + -1n = -12 + 10n + -10n Combine like terms: 10n + -10n = 0 -11 + -1n = -12 + 0 -11 + -1n = -12 Add '11' to each side of the equation. -11 + 11 + -1n = -12 + 11 Combine like terms: -11 + 11 = 0 0 + -1n = -12 + 11 -1n = -12 + 11 Combine like terms: -12 + 11 = -1 -1n = -1 Divide each side by '-1'. n = 1 Simplifying n = 1
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