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Simplifying 16(-1n + 8) = 3n + 14 + -2n Reorder the terms: 16(8 + -1n) = 3n + 14 + -2n (8 * 16 + -1n * 16) = 3n + 14 + -2n (128 + -16n) = 3n + 14 + -2n Reorder the terms: 128 + -16n = 14 + 3n + -2n Combine like terms: 3n + -2n = 1n 128 + -16n = 14 + 1n Solving 128 + -16n = 14 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 128 + -16n + -1n = 14 + 1n + -1n Combine like terms: -16n + -1n = -17n 128 + -17n = 14 + 1n + -1n Combine like terms: 1n + -1n = 0 128 + -17n = 14 + 0 128 + -17n = 14 Add '-128' to each side of the equation. 128 + -128 + -17n = 14 + -128 Combine like terms: 128 + -128 = 0 0 + -17n = 14 + -128 -17n = 14 + -128 Combine like terms: 14 + -128 = -114 -17n = -114 Divide each side by '-17'. n = 6.705882353 Simplifying n = 6.705882353
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