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Simplifying -6(7 + -3m + n) = -42 + 18m + -6n (7 * -6 + -3m * -6 + n * -6) = -42 + 18m + -6n (-42 + 18m + -6n) = -42 + 18m + -6n Add '42' to each side of the equation. -42 + 18m + 42 + -6n = -42 + 18m + 42 + -6n Reorder the terms: -42 + 42 + 18m + -6n = -42 + 18m + 42 + -6n Combine like terms: -42 + 42 = 0 0 + 18m + -6n = -42 + 18m + 42 + -6n 18m + -6n = -42 + 18m + 42 + -6n Reorder the terms: 18m + -6n = -42 + 42 + 18m + -6n Combine like terms: -42 + 42 = 0 18m + -6n = 0 + 18m + -6n 18m + -6n = 18m + -6n Add '-18m' to each side of the equation. 18m + -18m + -6n = 18m + -18m + -6n Combine like terms: 18m + -18m = 0 0 + -6n = 18m + -18m + -6n -6n = 18m + -18m + -6n Combine like terms: 18m + -18m = 0 -6n = 0 + -6n -6n = -6n Add '6n' to each side of the equation. -6n + 6n = -6n + 6n Combine like terms: -6n + 6n = 0 0 = -6n + 6n Combine like terms: -6n + 6n = 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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