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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 = -34 -34 + 4n + -2n = -15n Combine like terms: 4n + -2n = 2n -34 + 2n = -15n Solving -34 + 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. -34 + 2n + 15n = -15n + 15n Combine like terms: 2n + 15n = 17n -34 + 17n = -15n + 15n Combine like terms: -15n + 15n = 0 -34 + 17n = 0 Add '34' to each side of the equation. -34 + 34 + 17n = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 17n = 0 + 34 17n = 0 + 34 Combine like terms: 0 + 34 = 34 17n = 34 Divide each side by '17'. n = 2 Simplifying n = 2
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