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Simplifying -1 + -5(1 + 3n) = 8(2n + 3) + 1 -1 + (1 * -5 + 3n * -5) = 8(2n + 3) + 1 -1 + (-5 + -15n) = 8(2n + 3) + 1 Combine like terms: -1 + -5 = -6 -6 + -15n = 8(2n + 3) + 1 Reorder the terms: -6 + -15n = 8(3 + 2n) + 1 -6 + -15n = (3 * 8 + 2n * 8) + 1 -6 + -15n = (24 + 16n) + 1 Reorder the terms: -6 + -15n = 24 + 1 + 16n Combine like terms: 24 + 1 = 25 -6 + -15n = 25 + 16n Solving -6 + -15n = 25 + 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. -6 + -15n + -16n = 25 + 16n + -16n Combine like terms: -15n + -16n = -31n -6 + -31n = 25 + 16n + -16n Combine like terms: 16n + -16n = 0 -6 + -31n = 25 + 0 -6 + -31n = 25 Add '6' to each side of the equation. -6 + 6 + -31n = 25 + 6 Combine like terms: -6 + 6 = 0 0 + -31n = 25 + 6 -31n = 25 + 6 Combine like terms: 25 + 6 = 31 -31n = 31 Divide each side by '-31'. n = -1 Simplifying n = -1
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