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Simplifying 5 + -2(6n + 8) = -8(-2n + 1) + 9 Reorder the terms: 5 + -2(8 + 6n) = -8(-2n + 1) + 9 5 + (8 * -2 + 6n * -2) = -8(-2n + 1) + 9 5 + (-16 + -12n) = -8(-2n + 1) + 9 Combine like terms: 5 + -16 = -11 -11 + -12n = -8(-2n + 1) + 9 Reorder the terms: -11 + -12n = -8(1 + -2n) + 9 -11 + -12n = (1 * -8 + -2n * -8) + 9 -11 + -12n = (-8 + 16n) + 9 Reorder the terms: -11 + -12n = -8 + 9 + 16n Combine like terms: -8 + 9 = 1 -11 + -12n = 1 + 16n Solving -11 + -12n = 1 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. -11 + -12n + -16n = 1 + 16n + -16n Combine like terms: -12n + -16n = -28n -11 + -28n = 1 + 16n + -16n Combine like terms: 16n + -16n = 0 -11 + -28n = 1 + 0 -11 + -28n = 1 Add '11' to each side of the equation. -11 + 11 + -28n = 1 + 11 Combine like terms: -11 + 11 = 0 0 + -28n = 1 + 11 -28n = 1 + 11 Combine like terms: 1 + 11 = 12 -28n = 12 Divide each side by '-28'. n = -0.4285714286 Simplifying n = -0.4285714286
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