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Simplifying -18n + -2 = 6(5 + n) + -12(7 + 2n) Reorder the terms: -2 + -18n = 6(5 + n) + -12(7 + 2n) -2 + -18n = (5 * 6 + n * 6) + -12(7 + 2n) -2 + -18n = (30 + 6n) + -12(7 + 2n) -2 + -18n = 30 + 6n + (7 * -12 + 2n * -12) -2 + -18n = 30 + 6n + (-84 + -24n) Reorder the terms: -2 + -18n = 30 + -84 + 6n + -24n Combine like terms: 30 + -84 = -54 -2 + -18n = -54 + 6n + -24n Combine like terms: 6n + -24n = -18n -2 + -18n = -54 + -18n Add '18n' to each side of the equation. -2 + -18n + 18n = -54 + -18n + 18n Combine like terms: -18n + 18n = 0 -2 + 0 = -54 + -18n + 18n -2 = -54 + -18n + 18n Combine like terms: -18n + 18n = 0 -2 = -54 + 0 -2 = -54 Solving -2 = -54 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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