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Simplifying 8(2n + -4) = (7n + 1) + 7 Reorder the terms: 8(-4 + 2n) = (7n + 1) + 7 (-4 * 8 + 2n * 8) = (7n + 1) + 7 (-32 + 16n) = (7n + 1) + 7 Reorder the terms: -32 + 16n = (1 + 7n) + 7 Remove parenthesis around (1 + 7n) -32 + 16n = 1 + 7n + 7 Reorder the terms: -32 + 16n = 1 + 7 + 7n Combine like terms: 1 + 7 = 8 -32 + 16n = 8 + 7n Solving -32 + 16n = 8 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -32 + 16n + -7n = 8 + 7n + -7n Combine like terms: 16n + -7n = 9n -32 + 9n = 8 + 7n + -7n Combine like terms: 7n + -7n = 0 -32 + 9n = 8 + 0 -32 + 9n = 8 Add '32' to each side of the equation. -32 + 32 + 9n = 8 + 32 Combine like terms: -32 + 32 = 0 0 + 9n = 8 + 32 9n = 8 + 32 Combine like terms: 8 + 32 = 40 9n = 40 Divide each side by '9'. n = 4.444444444 Simplifying n = 4.444444444
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