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Simplifying -4(n + 3) + 14 = -2n + -10 Reorder the terms: -4(3 + n) + 14 = -2n + -10 (3 * -4 + n * -4) + 14 = -2n + -10 (-12 + -4n) + 14 = -2n + -10 Reorder the terms: -12 + 14 + -4n = -2n + -10 Combine like terms: -12 + 14 = 2 2 + -4n = -2n + -10 Reorder the terms: 2 + -4n = -10 + -2n Solving 2 + -4n = -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 + -4n + 2n = -10 + -2n + 2n Combine like terms: -4n + 2n = -2n 2 + -2n = -10 + -2n + 2n Combine like terms: -2n + 2n = 0 2 + -2n = -10 + 0 2 + -2n = -10 Add '-2' to each side of the equation. 2 + -2 + -2n = -10 + -2 Combine like terms: 2 + -2 = 0 0 + -2n = -10 + -2 -2n = -10 + -2 Combine like terms: -10 + -2 = -12 -2n = -12 Divide each side by '-2'. n = 6 Simplifying n = 6
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