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Simplifying -9n + 5(6 + -7n) = 4(n + -4) + -2 -9n + (6 * 5 + -7n * 5) = 4(n + -4) + -2 -9n + (30 + -35n) = 4(n + -4) + -2 Reorder the terms: 30 + -9n + -35n = 4(n + -4) + -2 Combine like terms: -9n + -35n = -44n 30 + -44n = 4(n + -4) + -2 Reorder the terms: 30 + -44n = 4(-4 + n) + -2 30 + -44n = (-4 * 4 + n * 4) + -2 30 + -44n = (-16 + 4n) + -2 Reorder the terms: 30 + -44n = -16 + -2 + 4n Combine like terms: -16 + -2 = -18 30 + -44n = -18 + 4n Solving 30 + -44n = -18 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 30 + -44n + -4n = -18 + 4n + -4n Combine like terms: -44n + -4n = -48n 30 + -48n = -18 + 4n + -4n Combine like terms: 4n + -4n = 0 30 + -48n = -18 + 0 30 + -48n = -18 Add '-30' to each side of the equation. 30 + -30 + -48n = -18 + -30 Combine like terms: 30 + -30 = 0 0 + -48n = -18 + -30 -48n = -18 + -30 Combine like terms: -18 + -30 = -48 -48n = -48 Divide each side by '-48'. n = 1 Simplifying n = 1
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