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Simplifying 2(3n + -14) + -3 = 5(2n + 1) Reorder the terms: 2(-14 + 3n) + -3 = 5(2n + 1) (-14 * 2 + 3n * 2) + -3 = 5(2n + 1) (-28 + 6n) + -3 = 5(2n + 1) Reorder the terms: -28 + -3 + 6n = 5(2n + 1) Combine like terms: -28 + -3 = -31 -31 + 6n = 5(2n + 1) Reorder the terms: -31 + 6n = 5(1 + 2n) -31 + 6n = (1 * 5 + 2n * 5) -31 + 6n = (5 + 10n) Solving -31 + 6n = 5 + 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. -31 + 6n + -10n = 5 + 10n + -10n Combine like terms: 6n + -10n = -4n -31 + -4n = 5 + 10n + -10n Combine like terms: 10n + -10n = 0 -31 + -4n = 5 + 0 -31 + -4n = 5 Add '31' to each side of the equation. -31 + 31 + -4n = 5 + 31 Combine like terms: -31 + 31 = 0 0 + -4n = 5 + 31 -4n = 5 + 31 Combine like terms: 5 + 31 = 36 -4n = 36 Divide each side by '-4'. n = -9 Simplifying n = -9
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