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Simplifying 8(6 + -2n) + 2(-3n + -4) = n + 8 + n + 8 (6 * 8 + -2n * 8) + 2(-3n + -4) = n + 8 + n + 8 (48 + -16n) + 2(-3n + -4) = n + 8 + n + 8 Reorder the terms: 48 + -16n + 2(-4 + -3n) = n + 8 + n + 8 48 + -16n + (-4 * 2 + -3n * 2) = n + 8 + n + 8 48 + -16n + (-8 + -6n) = n + 8 + n + 8 Reorder the terms: 48 + -8 + -16n + -6n = n + 8 + n + 8 Combine like terms: 48 + -8 = 40 40 + -16n + -6n = n + 8 + n + 8 Combine like terms: -16n + -6n = -22n 40 + -22n = n + 8 + n + 8 Reorder the terms: 40 + -22n = 8 + 8 + n + n Combine like terms: 8 + 8 = 16 40 + -22n = 16 + n + n Combine like terms: n + n = 2n 40 + -22n = 16 + 2n Solving 40 + -22n = 16 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 40 + -22n + -2n = 16 + 2n + -2n Combine like terms: -22n + -2n = -24n 40 + -24n = 16 + 2n + -2n Combine like terms: 2n + -2n = 0 40 + -24n = 16 + 0 40 + -24n = 16 Add '-40' to each side of the equation. 40 + -40 + -24n = 16 + -40 Combine like terms: 40 + -40 = 0 0 + -24n = 16 + -40 -24n = 16 + -40 Combine like terms: 16 + -40 = -24 -24n = -24 Divide each side by '-24'. n = 1 Simplifying n = 1
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