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Simplifying -5(n + 2) + 12 = -2n + -10 Reorder the terms: -5(2 + n) + 12 = -2n + -10 (2 * -5 + n * -5) + 12 = -2n + -10 (-10 + -5n) + 12 = -2n + -10 Reorder the terms: -10 + 12 + -5n = -2n + -10 Combine like terms: -10 + 12 = 2 2 + -5n = -2n + -10 Reorder the terms: 2 + -5n = -10 + -2n Solving 2 + -5n = -10 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 2 + -5n + 2n = -10 + -2n + 2n Combine like terms: -5n + 2n = -3n 2 + -3n = -10 + -2n + 2n Combine like terms: -2n + 2n = 0 2 + -3n = -10 + 0 2 + -3n = -10 Add '-2' to each side of the equation. 2 + -2 + -3n = -10 + -2 Combine like terms: 2 + -2 = 0 0 + -3n = -10 + -2 -3n = -10 + -2 Combine like terms: -10 + -2 = -12 -3n = -12 Divide each side by '-3'. n = 4 Simplifying n = 4
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