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Simplifying 6n + -8n = -1(4n + -6) + 9(n + -3) Combine like terms: 6n + -8n = -2n -2n = -1(4n + -6) + 9(n + -3) Reorder the terms: -2n = -1(-6 + 4n) + 9(n + -3) -2n = (-6 * -1 + 4n * -1) + 9(n + -3) -2n = (6 + -4n) + 9(n + -3) Reorder the terms: -2n = 6 + -4n + 9(-3 + n) -2n = 6 + -4n + (-3 * 9 + n * 9) -2n = 6 + -4n + (-27 + 9n) Reorder the terms: -2n = 6 + -27 + -4n + 9n Combine like terms: 6 + -27 = -21 -2n = -21 + -4n + 9n Combine like terms: -4n + 9n = 5n -2n = -21 + 5n Solving -2n = -21 + 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. -2n + -5n = -21 + 5n + -5n Combine like terms: -2n + -5n = -7n -7n = -21 + 5n + -5n Combine like terms: 5n + -5n = 0 -7n = -21 + 0 -7n = -21 Divide each side by '-7'. n = 3 Simplifying n = 3
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