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Simplifying -4n + 2 = n + 7(-6 + -7n) Reorder the terms: 2 + -4n = n + 7(-6 + -7n) 2 + -4n = n + (-6 * 7 + -7n * 7) 2 + -4n = n + (-42 + -49n) Reorder the terms: 2 + -4n = -42 + n + -49n Combine like terms: n + -49n = -48n 2 + -4n = -42 + -48n Solving 2 + -4n = -42 + -48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '48n' to each side of the equation. 2 + -4n + 48n = -42 + -48n + 48n Combine like terms: -4n + 48n = 44n 2 + 44n = -42 + -48n + 48n Combine like terms: -48n + 48n = 0 2 + 44n = -42 + 0 2 + 44n = -42 Add '-2' to each side of the equation. 2 + -2 + 44n = -42 + -2 Combine like terms: 2 + -2 = 0 0 + 44n = -42 + -2 44n = -42 + -2 Combine like terms: -42 + -2 = -44 44n = -44 Divide each side by '44'. n = -1 Simplifying n = -1
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