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Simplifying -2 + 5(3n + -1) = 5(-5n + -5) + 9 Reorder the terms: -2 + 5(-1 + 3n) = 5(-5n + -5) + 9 -2 + (-1 * 5 + 3n * 5) = 5(-5n + -5) + 9 -2 + (-5 + 15n) = 5(-5n + -5) + 9 Combine like terms: -2 + -5 = -7 -7 + 15n = 5(-5n + -5) + 9 Reorder the terms: -7 + 15n = 5(-5 + -5n) + 9 -7 + 15n = (-5 * 5 + -5n * 5) + 9 -7 + 15n = (-25 + -25n) + 9 Reorder the terms: -7 + 15n = -25 + 9 + -25n Combine like terms: -25 + 9 = -16 -7 + 15n = -16 + -25n Solving -7 + 15n = -16 + -25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '25n' to each side of the equation. -7 + 15n + 25n = -16 + -25n + 25n Combine like terms: 15n + 25n = 40n -7 + 40n = -16 + -25n + 25n Combine like terms: -25n + 25n = 0 -7 + 40n = -16 + 0 -7 + 40n = -16 Add '7' to each side of the equation. -7 + 7 + 40n = -16 + 7 Combine like terms: -7 + 7 = 0 0 + 40n = -16 + 7 40n = -16 + 7 Combine like terms: -16 + 7 = -9 40n = -9 Divide each side by '40'. n = -0.225 Simplifying n = -0.225
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