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Simplifying -6(n + -6) + -7 = 4(-1n + 4) + -5 Reorder the terms: -6(-6 + n) + -7 = 4(-1n + 4) + -5 (-6 * -6 + n * -6) + -7 = 4(-1n + 4) + -5 (36 + -6n) + -7 = 4(-1n + 4) + -5 Reorder the terms: 36 + -7 + -6n = 4(-1n + 4) + -5 Combine like terms: 36 + -7 = 29 29 + -6n = 4(-1n + 4) + -5 Reorder the terms: 29 + -6n = 4(4 + -1n) + -5 29 + -6n = (4 * 4 + -1n * 4) + -5 29 + -6n = (16 + -4n) + -5 Reorder the terms: 29 + -6n = 16 + -5 + -4n Combine like terms: 16 + -5 = 11 29 + -6n = 11 + -4n Solving 29 + -6n = 11 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 29 + -6n + 4n = 11 + -4n + 4n Combine like terms: -6n + 4n = -2n 29 + -2n = 11 + -4n + 4n Combine like terms: -4n + 4n = 0 29 + -2n = 11 + 0 29 + -2n = 11 Add '-29' to each side of the equation. 29 + -29 + -2n = 11 + -29 Combine like terms: 29 + -29 = 0 0 + -2n = 11 + -29 -2n = 11 + -29 Combine like terms: 11 + -29 = -18 -2n = -18 Divide each side by '-2'. n = 9 Simplifying n = 9
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