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Simplifying 5(2n + -3) + -2(n + -1) = 5(n + -1) + -2 Reorder the terms: 5(-3 + 2n) + -2(n + -1) = 5(n + -1) + -2 (-3 * 5 + 2n * 5) + -2(n + -1) = 5(n + -1) + -2 (-15 + 10n) + -2(n + -1) = 5(n + -1) + -2 Reorder the terms: -15 + 10n + -2(-1 + n) = 5(n + -1) + -2 -15 + 10n + (-1 * -2 + n * -2) = 5(n + -1) + -2 -15 + 10n + (2 + -2n) = 5(n + -1) + -2 Reorder the terms: -15 + 2 + 10n + -2n = 5(n + -1) + -2 Combine like terms: -15 + 2 = -13 -13 + 10n + -2n = 5(n + -1) + -2 Combine like terms: 10n + -2n = 8n -13 + 8n = 5(n + -1) + -2 Reorder the terms: -13 + 8n = 5(-1 + n) + -2 -13 + 8n = (-1 * 5 + n * 5) + -2 -13 + 8n = (-5 + 5n) + -2 Reorder the terms: -13 + 8n = -5 + -2 + 5n Combine like terms: -5 + -2 = -7 -13 + 8n = -7 + 5n Solving -13 + 8n = -7 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -13 + 8n + -5n = -7 + 5n + -5n Combine like terms: 8n + -5n = 3n -13 + 3n = -7 + 5n + -5n Combine like terms: 5n + -5n = 0 -13 + 3n = -7 + 0 -13 + 3n = -7 Add '13' to each side of the equation. -13 + 13 + 3n = -7 + 13 Combine like terms: -13 + 13 = 0 0 + 3n = -7 + 13 3n = -7 + 13 Combine like terms: -7 + 13 = 6 3n = 6 Divide each side by '3'. n = 2 Simplifying n = 2
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