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Simplifying 7 + 3(n + -6) = 5(3n + 2) Reorder the terms: 7 + 3(-6 + n) = 5(3n + 2) 7 + (-6 * 3 + n * 3) = 5(3n + 2) 7 + (-18 + 3n) = 5(3n + 2) Combine like terms: 7 + -18 = -11 -11 + 3n = 5(3n + 2) Reorder the terms: -11 + 3n = 5(2 + 3n) -11 + 3n = (2 * 5 + 3n * 5) -11 + 3n = (10 + 15n) Solving -11 + 3n = 10 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. -11 + 3n + -15n = 10 + 15n + -15n Combine like terms: 3n + -15n = -12n -11 + -12n = 10 + 15n + -15n Combine like terms: 15n + -15n = 0 -11 + -12n = 10 + 0 -11 + -12n = 10 Add '11' to each side of the equation. -11 + 11 + -12n = 10 + 11 Combine like terms: -11 + 11 = 0 0 + -12n = 10 + 11 -12n = 10 + 11 Combine like terms: 10 + 11 = 21 -12n = 21 Divide each side by '-12'. n = -1.75 Simplifying n = -1.75
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