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Simplifying -2(n + 4) + 3(n + 5) = 7 + n + -8 Reorder the terms: -2(4 + n) + 3(n + 5) = 7 + n + -8 (4 * -2 + n * -2) + 3(n + 5) = 7 + n + -8 (-8 + -2n) + 3(n + 5) = 7 + n + -8 Reorder the terms: -8 + -2n + 3(5 + n) = 7 + n + -8 -8 + -2n + (5 * 3 + n * 3) = 7 + n + -8 -8 + -2n + (15 + 3n) = 7 + n + -8 Reorder the terms: -8 + 15 + -2n + 3n = 7 + n + -8 Combine like terms: -8 + 15 = 7 7 + -2n + 3n = 7 + n + -8 Combine like terms: -2n + 3n = 1n 7 + 1n = 7 + n + -8 Reorder the terms: 7 + 1n = 7 + -8 + n Combine like terms: 7 + -8 = -1 7 + 1n = -1 + n Solving 7 + 1n = -1 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 7 + 1n + -1n = -1 + n + -1n Combine like terms: 1n + -1n = 0 7 + 0 = -1 + n + -1n 7 = -1 + n + -1n Combine like terms: n + -1n = 0 7 = -1 + 0 7 = -1 Add '-7' to each side of the equation. 7 + -7 = -1 + -7 Combine like terms: 7 + -7 = 0 0 = -1 + -7 Combine like terms: -1 + -7 = -8 0 = -8 Simplifying 0 = -8 Combine like terms: 0 + 8 = 8 8 = -8 + 8 Combine like terms: -8 + 8 = 0 8 = 0 The solution to this equation could not be determined.
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