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Simplifying -45 = -1(1 + 2n) + -6 + (4 + -2n) -45 = (1 * -1 + 2n * -1) + -6 + (4 + -2n) -45 = (-1 + -2n) + -6 + (4 + -2n) Remove parenthesis around (4 + -2n) -45 = -1 + -2n + -6 + 4 + -2n Reorder the terms: -45 = -1 + -6 + 4 + -2n + -2n Combine like terms: -1 + -6 = -7 -45 = -7 + 4 + -2n + -2n Combine like terms: -7 + 4 = -3 -45 = -3 + -2n + -2n Combine like terms: -2n + -2n = -4n -45 = -3 + -4n Solving -45 = -3 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -45 + 4n = -3 + -4n + 4n Combine like terms: -4n + 4n = 0 -45 + 4n = -3 + 0 -45 + 4n = -3 Add '45' to each side of the equation. -45 + 45 + 4n = -3 + 45 Combine like terms: -45 + 45 = 0 0 + 4n = -3 + 45 4n = -3 + 45 Combine like terms: -3 + 45 = 42 4n = 42 Divide each side by '4'. n = 10.5 Simplifying n = 10.5
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