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Simplifying 3(4n + -2) + -2 = 6(2n + -4) + 16 Reorder the terms: 3(-2 + 4n) + -2 = 6(2n + -4) + 16 (-2 * 3 + 4n * 3) + -2 = 6(2n + -4) + 16 (-6 + 12n) + -2 = 6(2n + -4) + 16 Reorder the terms: -6 + -2 + 12n = 6(2n + -4) + 16 Combine like terms: -6 + -2 = -8 -8 + 12n = 6(2n + -4) + 16 Reorder the terms: -8 + 12n = 6(-4 + 2n) + 16 -8 + 12n = (-4 * 6 + 2n * 6) + 16 -8 + 12n = (-24 + 12n) + 16 Reorder the terms: -8 + 12n = -24 + 16 + 12n Combine like terms: -24 + 16 = -8 -8 + 12n = -8 + 12n Add '8' to each side of the equation. -8 + 8 + 12n = -8 + 8 + 12n Combine like terms: -8 + 8 = 0 0 + 12n = -8 + 8 + 12n 12n = -8 + 8 + 12n Combine like terms: -8 + 8 = 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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