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Simplifying 8(2n + -2) = (2n + 2) + 5 Reorder the terms: 8(-2 + 2n) = (2n + 2) + 5 (-2 * 8 + 2n * 8) = (2n + 2) + 5 (-16 + 16n) = (2n + 2) + 5 Reorder the terms: -16 + 16n = (2 + 2n) + 5 Remove parenthesis around (2 + 2n) -16 + 16n = 2 + 2n + 5 Reorder the terms: -16 + 16n = 2 + 5 + 2n Combine like terms: 2 + 5 = 7 -16 + 16n = 7 + 2n Solving -16 + 16n = 7 + 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. -16 + 16n + -2n = 7 + 2n + -2n Combine like terms: 16n + -2n = 14n -16 + 14n = 7 + 2n + -2n Combine like terms: 2n + -2n = 0 -16 + 14n = 7 + 0 -16 + 14n = 7 Add '16' to each side of the equation. -16 + 16 + 14n = 7 + 16 Combine like terms: -16 + 16 = 0 0 + 14n = 7 + 16 14n = 7 + 16 Combine like terms: 7 + 16 = 23 14n = 23 Divide each side by '14'. n = 1.642857143 Simplifying n = 1.642857143
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