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Simplifying 48 = -6(3n + -4) + 3(n + 3) Reorder the terms: 48 = -6(-4 + 3n) + 3(n + 3) 48 = (-4 * -6 + 3n * -6) + 3(n + 3) 48 = (24 + -18n) + 3(n + 3) Reorder the terms: 48 = 24 + -18n + 3(3 + n) 48 = 24 + -18n + (3 * 3 + n * 3) 48 = 24 + -18n + (9 + 3n) Reorder the terms: 48 = 24 + 9 + -18n + 3n Combine like terms: 24 + 9 = 33 48 = 33 + -18n + 3n Combine like terms: -18n + 3n = -15n 48 = 33 + -15n Solving 48 = 33 + -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. 48 + 15n = 33 + -15n + 15n Combine like terms: -15n + 15n = 0 48 + 15n = 33 + 0 48 + 15n = 33 Add '-48' to each side of the equation. 48 + -48 + 15n = 33 + -48 Combine like terms: 48 + -48 = 0 0 + 15n = 33 + -48 15n = 33 + -48 Combine like terms: 33 + -48 = -15 15n = -15 Divide each side by '15'. n = -1 Simplifying n = -1
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