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Simplifying 5(3n + 6) + -1(1 + -2n) = n + 1 + -4 Reorder the terms: 5(6 + 3n) + -1(1 + -2n) = n + 1 + -4 (6 * 5 + 3n * 5) + -1(1 + -2n) = n + 1 + -4 (30 + 15n) + -1(1 + -2n) = n + 1 + -4 30 + 15n + (1 * -1 + -2n * -1) = n + 1 + -4 30 + 15n + (-1 + 2n) = n + 1 + -4 Reorder the terms: 30 + -1 + 15n + 2n = n + 1 + -4 Combine like terms: 30 + -1 = 29 29 + 15n + 2n = n + 1 + -4 Combine like terms: 15n + 2n = 17n 29 + 17n = n + 1 + -4 Reorder the terms: 29 + 17n = 1 + -4 + n Combine like terms: 1 + -4 = -3 29 + 17n = -3 + n Solving 29 + 17n = -3 + 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. 29 + 17n + -1n = -3 + n + -1n Combine like terms: 17n + -1n = 16n 29 + 16n = -3 + n + -1n Combine like terms: n + -1n = 0 29 + 16n = -3 + 0 29 + 16n = -3 Add '-29' to each side of the equation. 29 + -29 + 16n = -3 + -29 Combine like terms: 29 + -29 = 0 0 + 16n = -3 + -29 16n = -3 + -29 Combine like terms: -3 + -29 = -32 16n = -32 Divide each side by '16'. n = -2 Simplifying n = -2
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