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Simplifying 4(n + 7) + -2(n + 3) = -15n Reorder the terms: 4(7 + n) + -2(n + 3) = -15n (7 * 4 + n * 4) + -2(n + 3) = -15n (28 + 4n) + -2(n + 3) = -15n Reorder the terms: 28 + 4n + -2(3 + n) = -15n 28 + 4n + (3 * -2 + n * -2) = -15n 28 + 4n + (-6 + -2n) = -15n Reorder the terms: 28 + -6 + 4n + -2n = -15n Combine like terms: 28 + -6 = 22 22 + 4n + -2n = -15n Combine like terms: 4n + -2n = 2n 22 + 2n = -15n Solving 22 + 2n = -15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15n' to each side of the equation. 22 + 2n + 15n = -15n + 15n Combine like terms: 2n + 15n = 17n 22 + 17n = -15n + 15n Combine like terms: -15n + 15n = 0 22 + 17n = 0 Add '-22' to each side of the equation. 22 + -22 + 17n = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 17n = 0 + -22 17n = 0 + -22 Combine like terms: 0 + -22 = -22 17n = -22 Divide each side by '17'. n = -1.294117647 Simplifying n = -1.294117647
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