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Simplifying -2n + -6 = -12(n + -7) + 10(n + -2) Reorder the terms: -6 + -2n = -12(n + -7) + 10(n + -2) Reorder the terms: -6 + -2n = -12(-7 + n) + 10(n + -2) -6 + -2n = (-7 * -12 + n * -12) + 10(n + -2) -6 + -2n = (84 + -12n) + 10(n + -2) Reorder the terms: -6 + -2n = 84 + -12n + 10(-2 + n) -6 + -2n = 84 + -12n + (-2 * 10 + n * 10) -6 + -2n = 84 + -12n + (-20 + 10n) Reorder the terms: -6 + -2n = 84 + -20 + -12n + 10n Combine like terms: 84 + -20 = 64 -6 + -2n = 64 + -12n + 10n Combine like terms: -12n + 10n = -2n -6 + -2n = 64 + -2n Add '2n' to each side of the equation. -6 + -2n + 2n = 64 + -2n + 2n Combine like terms: -2n + 2n = 0 -6 + 0 = 64 + -2n + 2n -6 = 64 + -2n + 2n Combine like terms: -2n + 2n = 0 -6 = 64 + 0 -6 = 64 Solving -6 = 64 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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