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Simplifying 5(n + -3) + -3n = 2(n + -7) + -1 Reorder the terms: 5(-3 + n) + -3n = 2(n + -7) + -1 (-3 * 5 + n * 5) + -3n = 2(n + -7) + -1 (-15 + 5n) + -3n = 2(n + -7) + -1 Combine like terms: 5n + -3n = 2n -15 + 2n = 2(n + -7) + -1 Reorder the terms: -15 + 2n = 2(-7 + n) + -1 -15 + 2n = (-7 * 2 + n * 2) + -1 -15 + 2n = (-14 + 2n) + -1 Reorder the terms: -15 + 2n = -14 + -1 + 2n Combine like terms: -14 + -1 = -15 -15 + 2n = -15 + 2n Add '15' to each side of the equation. -15 + 15 + 2n = -15 + 15 + 2n Combine like terms: -15 + 15 = 0 0 + 2n = -15 + 15 + 2n 2n = -15 + 15 + 2n Combine like terms: -15 + 15 = 0 2n = 0 + 2n 2n = 2n Add '-2n' to each side of the equation. 2n + -2n = 2n + -2n Combine like terms: 2n + -2n = 0 0 = 2n + -2n Combine like terms: 2n + -2n = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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