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Simplifying 2(7n + -6) = 3(5 + -1n) Reorder the terms: 2(-6 + 7n) = 3(5 + -1n) (-6 * 2 + 7n * 2) = 3(5 + -1n) (-12 + 14n) = 3(5 + -1n) -12 + 14n = (5 * 3 + -1n * 3) -12 + 14n = (15 + -3n) Solving -12 + 14n = 15 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -12 + 14n + 3n = 15 + -3n + 3n Combine like terms: 14n + 3n = 17n -12 + 17n = 15 + -3n + 3n Combine like terms: -3n + 3n = 0 -12 + 17n = 15 + 0 -12 + 17n = 15 Add '12' to each side of the equation. -12 + 12 + 17n = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 17n = 15 + 12 17n = 15 + 12 Combine like terms: 15 + 12 = 27 17n = 27 Divide each side by '17'. n = 1.588235294 Simplifying n = 1.588235294
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