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Simplifying 7(4n + -3) + -1(2n + 1) * 9 = 2(n + -9) Reorder the terms: 7(-3 + 4n) + -1(2n + 1) * 9 = 2(n + -9) (-3 * 7 + 4n * 7) + -1(2n + 1) * 9 = 2(n + -9) (-21 + 28n) + -1(2n + 1) * 9 = 2(n + -9) Reorder the terms: -21 + 28n + -1(1 + 2n) * 9 = 2(n + -9) Reorder the terms for easier multiplication: -21 + 28n + -1 * 9(1 + 2n) = 2(n + -9) Multiply -1 * 9 -21 + 28n + -9(1 + 2n) = 2(n + -9) -21 + 28n + (1 * -9 + 2n * -9) = 2(n + -9) -21 + 28n + (-9 + -18n) = 2(n + -9) Reorder the terms: -21 + -9 + 28n + -18n = 2(n + -9) Combine like terms: -21 + -9 = -30 -30 + 28n + -18n = 2(n + -9) Combine like terms: 28n + -18n = 10n -30 + 10n = 2(n + -9) Reorder the terms: -30 + 10n = 2(-9 + n) -30 + 10n = (-9 * 2 + n * 2) -30 + 10n = (-18 + 2n) Solving -30 + 10n = -18 + 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. -30 + 10n + -2n = -18 + 2n + -2n Combine like terms: 10n + -2n = 8n -30 + 8n = -18 + 2n + -2n Combine like terms: 2n + -2n = 0 -30 + 8n = -18 + 0 -30 + 8n = -18 Add '30' to each side of the equation. -30 + 30 + 8n = -18 + 30 Combine like terms: -30 + 30 = 0 0 + 8n = -18 + 30 8n = -18 + 30 Combine like terms: -18 + 30 = 12 8n = 12 Divide each side by '8'. n = 1.5 Simplifying n = 1.5
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