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Simplifying 2n + -1 = 5(n + -3) + -1n Reorder the terms: -1 + 2n = 5(n + -3) + -1n Reorder the terms: -1 + 2n = 5(-3 + n) + -1n -1 + 2n = (-3 * 5 + n * 5) + -1n -1 + 2n = (-15 + 5n) + -1n Combine like terms: 5n + -1n = 4n -1 + 2n = -15 + 4n Solving -1 + 2n = -15 + 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. -1 + 2n + -4n = -15 + 4n + -4n Combine like terms: 2n + -4n = -2n -1 + -2n = -15 + 4n + -4n Combine like terms: 4n + -4n = 0 -1 + -2n = -15 + 0 -1 + -2n = -15 Add '1' to each side of the equation. -1 + 1 + -2n = -15 + 1 Combine like terms: -1 + 1 = 0 0 + -2n = -15 + 1 -2n = -15 + 1 Combine like terms: -15 + 1 = -14 -2n = -14 Divide each side by '-2'. n = 7 Simplifying n = 7
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