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Simplifying 2(-2n + -7) = 6(n + 1) Reorder the terms: 2(-7 + -2n) = 6(n + 1) (-7 * 2 + -2n * 2) = 6(n + 1) (-14 + -4n) = 6(n + 1) Reorder the terms: -14 + -4n = 6(1 + n) -14 + -4n = (1 * 6 + n * 6) -14 + -4n = (6 + 6n) Solving -14 + -4n = 6 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -14 + -4n + -6n = 6 + 6n + -6n Combine like terms: -4n + -6n = -10n -14 + -10n = 6 + 6n + -6n Combine like terms: 6n + -6n = 0 -14 + -10n = 6 + 0 -14 + -10n = 6 Add '14' to each side of the equation. -14 + 14 + -10n = 6 + 14 Combine like terms: -14 + 14 = 0 0 + -10n = 6 + 14 -10n = 6 + 14 Combine like terms: 6 + 14 = 20 -10n = 20 Divide each side by '-10'. n = -2 Simplifying n = -2
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