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Simplifying -9 + 3n = -8(2n + -6) Reorder the terms: -9 + 3n = -8(-6 + 2n) -9 + 3n = (-6 * -8 + 2n * -8) -9 + 3n = (48 + -16n) Solving -9 + 3n = 48 + -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. -9 + 3n + 16n = 48 + -16n + 16n Combine like terms: 3n + 16n = 19n -9 + 19n = 48 + -16n + 16n Combine like terms: -16n + 16n = 0 -9 + 19n = 48 + 0 -9 + 19n = 48 Add '9' to each side of the equation. -9 + 9 + 19n = 48 + 9 Combine like terms: -9 + 9 = 0 0 + 19n = 48 + 9 19n = 48 + 9 Combine like terms: 48 + 9 = 57 19n = 57 Divide each side by '19'. n = 3 Simplifying n = 3
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