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Simplifying -6n + 4n = -1(1 + n) + -7(3n + -3) Combine like terms: -6n + 4n = -2n -2n = -1(1 + n) + -7(3n + -3) -2n = (1 * -1 + n * -1) + -7(3n + -3) -2n = (-1 + -1n) + -7(3n + -3) Reorder the terms: -2n = -1 + -1n + -7(-3 + 3n) -2n = -1 + -1n + (-3 * -7 + 3n * -7) -2n = -1 + -1n + (21 + -21n) Reorder the terms: -2n = -1 + 21 + -1n + -21n Combine like terms: -1 + 21 = 20 -2n = 20 + -1n + -21n Combine like terms: -1n + -21n = -22n -2n = 20 + -22n Solving -2n = 20 + -22n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '22n' to each side of the equation. -2n + 22n = 20 + -22n + 22n Combine like terms: -2n + 22n = 20n 20n = 20 + -22n + 22n Combine like terms: -22n + 22n = 0 20n = 20 + 0 20n = 20 Divide each side by '20'. n = 1 Simplifying n = 1
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