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Simplifying -2(-4n + 3) + 7n = 12n + -1(n + 2) Reorder the terms: -2(3 + -4n) + 7n = 12n + -1(n + 2) (3 * -2 + -4n * -2) + 7n = 12n + -1(n + 2) (-6 + 8n) + 7n = 12n + -1(n + 2) Combine like terms: 8n + 7n = 15n -6 + 15n = 12n + -1(n + 2) Reorder the terms: -6 + 15n = 12n + -1(2 + n) -6 + 15n = 12n + (2 * -1 + n * -1) -6 + 15n = 12n + (-2 + -1n) Reorder the terms: -6 + 15n = -2 + 12n + -1n Combine like terms: 12n + -1n = 11n -6 + 15n = -2 + 11n Solving -6 + 15n = -2 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. -6 + 15n + -11n = -2 + 11n + -11n Combine like terms: 15n + -11n = 4n -6 + 4n = -2 + 11n + -11n Combine like terms: 11n + -11n = 0 -6 + 4n = -2 + 0 -6 + 4n = -2 Add '6' to each side of the equation. -6 + 6 + 4n = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 4n = -2 + 6 4n = -2 + 6 Combine like terms: -2 + 6 = 4 4n = 4 Divide each side by '4'. n = 1 Simplifying n = 1
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