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Simplifying n + 27 = 8(2n + -6) Reorder the terms: 27 + n = 8(2n + -6) Reorder the terms: 27 + n = 8(-6 + 2n) 27 + n = (-6 * 8 + 2n * 8) 27 + n = (-48 + 16n) Solving 27 + n = -48 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. 27 + n + -16n = -48 + 16n + -16n Combine like terms: n + -16n = -15n 27 + -15n = -48 + 16n + -16n Combine like terms: 16n + -16n = 0 27 + -15n = -48 + 0 27 + -15n = -48 Add '-27' to each side of the equation. 27 + -27 + -15n = -48 + -27 Combine like terms: 27 + -27 = 0 0 + -15n = -48 + -27 -15n = -48 + -27 Combine like terms: -48 + -27 = -75 -15n = -75 Divide each side by '-15'. n = 5 Simplifying n = 5
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