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Simplifying 3 + 6n + 1 + 4n = -6(3n + -4) + -12(-1n + 11) Reorder the terms: 3 + 1 + 6n + 4n = -6(3n + -4) + -12(-1n + 11) Combine like terms: 3 + 1 = 4 4 + 6n + 4n = -6(3n + -4) + -12(-1n + 11) Combine like terms: 6n + 4n = 10n 4 + 10n = -6(3n + -4) + -12(-1n + 11) Reorder the terms: 4 + 10n = -6(-4 + 3n) + -12(-1n + 11) 4 + 10n = (-4 * -6 + 3n * -6) + -12(-1n + 11) 4 + 10n = (24 + -18n) + -12(-1n + 11) Reorder the terms: 4 + 10n = 24 + -18n + -12(11 + -1n) 4 + 10n = 24 + -18n + (11 * -12 + -1n * -12) 4 + 10n = 24 + -18n + (-132 + 12n) Reorder the terms: 4 + 10n = 24 + -132 + -18n + 12n Combine like terms: 24 + -132 = -108 4 + 10n = -108 + -18n + 12n Combine like terms: -18n + 12n = -6n 4 + 10n = -108 + -6n Solving 4 + 10n = -108 + -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. 4 + 10n + 6n = -108 + -6n + 6n Combine like terms: 10n + 6n = 16n 4 + 16n = -108 + -6n + 6n Combine like terms: -6n + 6n = 0 4 + 16n = -108 + 0 4 + 16n = -108 Add '-4' to each side of the equation. 4 + -4 + 16n = -108 + -4 Combine like terms: 4 + -4 = 0 0 + 16n = -108 + -4 16n = -108 + -4 Combine like terms: -108 + -4 = -112 16n = -112 Divide each side by '16'. n = -7 Simplifying n = -7
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