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Simplifying -4(n + -3) + 15 = -2n + -7 Reorder the terms: -4(-3 + n) + 15 = -2n + -7 (-3 * -4 + n * -4) + 15 = -2n + -7 (12 + -4n) + 15 = -2n + -7 Reorder the terms: 12 + 15 + -4n = -2n + -7 Combine like terms: 12 + 15 = 27 27 + -4n = -2n + -7 Reorder the terms: 27 + -4n = -7 + -2n Solving 27 + -4n = -7 + -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. 27 + -4n + 2n = -7 + -2n + 2n Combine like terms: -4n + 2n = -2n 27 + -2n = -7 + -2n + 2n Combine like terms: -2n + 2n = 0 27 + -2n = -7 + 0 27 + -2n = -7 Add '-27' to each side of the equation. 27 + -27 + -2n = -7 + -27 Combine like terms: 27 + -27 = 0 0 + -2n = -7 + -27 -2n = -7 + -27 Combine like terms: -7 + -27 = -34 -2n = -34 Divide each side by '-2'. n = 17 Simplifying n = 17
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