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Simplifying 4 + -4n = 8(6n + 7) Reorder the terms: 4 + -4n = 8(7 + 6n) 4 + -4n = (7 * 8 + 6n * 8) 4 + -4n = (56 + 48n) Solving 4 + -4n = 56 + 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. 4 + -4n + -48n = 56 + 48n + -48n Combine like terms: -4n + -48n = -52n 4 + -52n = 56 + 48n + -48n Combine like terms: 48n + -48n = 0 4 + -52n = 56 + 0 4 + -52n = 56 Add '-4' to each side of the equation. 4 + -4 + -52n = 56 + -4 Combine like terms: 4 + -4 = 0 0 + -52n = 56 + -4 -52n = 56 + -4 Combine like terms: 56 + -4 = 52 -52n = 52 Divide each side by '-52'. n = -1 Simplifying n = -1
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