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Simplifying -7 + 6(-8n + 8) = (2n + 5) + 7 Reorder the terms: -7 + 6(8 + -8n) = (2n + 5) + 7 -7 + (8 * 6 + -8n * 6) = (2n + 5) + 7 -7 + (48 + -48n) = (2n + 5) + 7 Combine like terms: -7 + 48 = 41 41 + -48n = (2n + 5) + 7 Reorder the terms: 41 + -48n = (5 + 2n) + 7 Remove parenthesis around (5 + 2n) 41 + -48n = 5 + 2n + 7 Reorder the terms: 41 + -48n = 5 + 7 + 2n Combine like terms: 5 + 7 = 12 41 + -48n = 12 + 2n Solving 41 + -48n = 12 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 41 + -48n + -2n = 12 + 2n + -2n Combine like terms: -48n + -2n = -50n 41 + -50n = 12 + 2n + -2n Combine like terms: 2n + -2n = 0 41 + -50n = 12 + 0 41 + -50n = 12 Add '-41' to each side of the equation. 41 + -41 + -50n = 12 + -41 Combine like terms: 41 + -41 = 0 0 + -50n = 12 + -41 -50n = 12 + -41 Combine like terms: 12 + -41 = -29 -50n = -29 Divide each side by '-50'. n = 0.58 Simplifying n = 0.58
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