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Simplifying 5(9n + -2) + 3n + -3 = 2(n + 1) + -4(c + -1) Reorder the terms: 5(-2 + 9n) + 3n + -3 = 2(n + 1) + -4(c + -1) (-2 * 5 + 9n * 5) + 3n + -3 = 2(n + 1) + -4(c + -1) (-10 + 45n) + 3n + -3 = 2(n + 1) + -4(c + -1) Reorder the terms: -10 + -3 + 45n + 3n = 2(n + 1) + -4(c + -1) Combine like terms: -10 + -3 = -13 -13 + 45n + 3n = 2(n + 1) + -4(c + -1) Combine like terms: 45n + 3n = 48n -13 + 48n = 2(n + 1) + -4(c + -1) Reorder the terms: -13 + 48n = 2(1 + n) + -4(c + -1) -13 + 48n = (1 * 2 + n * 2) + -4(c + -1) -13 + 48n = (2 + 2n) + -4(c + -1) Reorder the terms: -13 + 48n = 2 + 2n + -4(-1 + c) -13 + 48n = 2 + 2n + (-1 * -4 + c * -4) -13 + 48n = 2 + 2n + (4 + -4c) Reorder the terms: -13 + 48n = 2 + 4 + -4c + 2n Combine like terms: 2 + 4 = 6 -13 + 48n = 6 + -4c + 2n Solving -13 + 48n = 6 + -4c + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -13 + 48n + -2n = 6 + -4c + 2n + -2n Combine like terms: 48n + -2n = 46n -13 + 46n = 6 + -4c + 2n + -2n Combine like terms: 2n + -2n = 0 -13 + 46n = 6 + -4c + 0 -13 + 46n = 6 + -4c Add '13' to each side of the equation. -13 + 13 + 46n = 6 + 13 + -4c Combine like terms: -13 + 13 = 0 0 + 46n = 6 + 13 + -4c 46n = 6 + 13 + -4c Combine like terms: 6 + 13 = 19 46n = 19 + -4c Divide each side by '46'. n = 0.4130434783 + -0.08695652174c Simplifying n = 0.4130434783 + -0.08695652174c
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