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Simplifying -7(n + -6) + 3(n + -4) = -5n + -1n Reorder the terms: -7(-6 + n) + 3(n + -4) = -5n + -1n (-6 * -7 + n * -7) + 3(n + -4) = -5n + -1n (42 + -7n) + 3(n + -4) = -5n + -1n Reorder the terms: 42 + -7n + 3(-4 + n) = -5n + -1n 42 + -7n + (-4 * 3 + n * 3) = -5n + -1n 42 + -7n + (-12 + 3n) = -5n + -1n Reorder the terms: 42 + -12 + -7n + 3n = -5n + -1n Combine like terms: 42 + -12 = 30 30 + -7n + 3n = -5n + -1n Combine like terms: -7n + 3n = -4n 30 + -4n = -5n + -1n Combine like terms: -5n + -1n = -6n 30 + -4n = -6n Solving 30 + -4n = -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 30 + -4n + 6n = -6n + 6n Combine like terms: -4n + 6n = 2n 30 + 2n = -6n + 6n Combine like terms: -6n + 6n = 0 30 + 2n = 0 Add '-30' to each side of the equation. 30 + -30 + 2n = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 2n = 0 + -30 2n = 0 + -30 Combine like terms: 0 + -30 = -30 2n = -30 Divide each side by '2'. n = -15 Simplifying n = -15
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