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Simplifying 3 + -4n + -6 = 6(n + -8) + -3(7 + -4n) Reorder the terms: 3 + -6 + -4n = 6(n + -8) + -3(7 + -4n) Combine like terms: 3 + -6 = -3 -3 + -4n = 6(n + -8) + -3(7 + -4n) Reorder the terms: -3 + -4n = 6(-8 + n) + -3(7 + -4n) -3 + -4n = (-8 * 6 + n * 6) + -3(7 + -4n) -3 + -4n = (-48 + 6n) + -3(7 + -4n) -3 + -4n = -48 + 6n + (7 * -3 + -4n * -3) -3 + -4n = -48 + 6n + (-21 + 12n) Reorder the terms: -3 + -4n = -48 + -21 + 6n + 12n Combine like terms: -48 + -21 = -69 -3 + -4n = -69 + 6n + 12n Combine like terms: 6n + 12n = 18n -3 + -4n = -69 + 18n Solving -3 + -4n = -69 + 18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. -3 + -4n + -18n = -69 + 18n + -18n Combine like terms: -4n + -18n = -22n -3 + -22n = -69 + 18n + -18n Combine like terms: 18n + -18n = 0 -3 + -22n = -69 + 0 -3 + -22n = -69 Add '3' to each side of the equation. -3 + 3 + -22n = -69 + 3 Combine like terms: -3 + 3 = 0 0 + -22n = -69 + 3 -22n = -69 + 3 Combine like terms: -69 + 3 = -66 -22n = -66 Divide each side by '-22'. n = 3 Simplifying n = 3
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