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Simplifying 4(3n + -1) = 2n + 2(5n + -2) Reorder the terms: 4(-1 + 3n) = 2n + 2(5n + -2) (-1 * 4 + 3n * 4) = 2n + 2(5n + -2) (-4 + 12n) = 2n + 2(5n + -2) Reorder the terms: -4 + 12n = 2n + 2(-2 + 5n) -4 + 12n = 2n + (-2 * 2 + 5n * 2) -4 + 12n = 2n + (-4 + 10n) Reorder the terms: -4 + 12n = -4 + 2n + 10n Combine like terms: 2n + 10n = 12n -4 + 12n = -4 + 12n Add '4' to each side of the equation. -4 + 4 + 12n = -4 + 4 + 12n Combine like terms: -4 + 4 = 0 0 + 12n = -4 + 4 + 12n 12n = -4 + 4 + 12n Combine like terms: -4 + 4 = 0 12n = 0 + 12n 12n = 12n Add '-12n' to each side of the equation. 12n + -12n = 12n + -12n Combine like terms: 12n + -12n = 0 0 = 12n + -12n Combine like terms: 12n + -12n = 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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