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Simplifying -6(n + -5) + 2n = -3(n + -7) Reorder the terms: -6(-5 + n) + 2n = -3(n + -7) (-5 * -6 + n * -6) + 2n = -3(n + -7) (30 + -6n) + 2n = -3(n + -7) Combine like terms: -6n + 2n = -4n 30 + -4n = -3(n + -7) Reorder the terms: 30 + -4n = -3(-7 + n) 30 + -4n = (-7 * -3 + n * -3) 30 + -4n = (21 + -3n) Solving 30 + -4n = 21 + -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. 30 + -4n + 3n = 21 + -3n + 3n Combine like terms: -4n + 3n = -1n 30 + -1n = 21 + -3n + 3n Combine like terms: -3n + 3n = 0 30 + -1n = 21 + 0 30 + -1n = 21 Add '-30' to each side of the equation. 30 + -30 + -1n = 21 + -30 Combine like terms: 30 + -30 = 0 0 + -1n = 21 + -30 -1n = 21 + -30 Combine like terms: 21 + -30 = -9 -1n = -9 Divide each side by '-1'. n = 9 Simplifying n = 9
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