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Simplifying -4 + -7n = -3(n + -4) + -2n Reorder the terms: -4 + -7n = -3(-4 + n) + -2n -4 + -7n = (-4 * -3 + n * -3) + -2n -4 + -7n = (12 + -3n) + -2n Combine like terms: -3n + -2n = -5n -4 + -7n = 12 + -5n Solving -4 + -7n = 12 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -4 + -7n + 5n = 12 + -5n + 5n Combine like terms: -7n + 5n = -2n -4 + -2n = 12 + -5n + 5n Combine like terms: -5n + 5n = 0 -4 + -2n = 12 + 0 -4 + -2n = 12 Add '4' to each side of the equation. -4 + 4 + -2n = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -2n = 12 + 4 -2n = 12 + 4 Combine like terms: 12 + 4 = 16 -2n = 16 Divide each side by '-2'. n = -8 Simplifying n = -8
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