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Simplifying 3(4 + k) + -2(3k + 4) = 5(k + -3) + -1(8k + -19) (4 * 3 + k * 3) + -2(3k + 4) = 5(k + -3) + -1(8k + -19) (12 + 3k) + -2(3k + 4) = 5(k + -3) + -1(8k + -19) Reorder the terms: 12 + 3k + -2(4 + 3k) = 5(k + -3) + -1(8k + -19) 12 + 3k + (4 * -2 + 3k * -2) = 5(k + -3) + -1(8k + -19) 12 + 3k + (-8 + -6k) = 5(k + -3) + -1(8k + -19) Reorder the terms: 12 + -8 + 3k + -6k = 5(k + -3) + -1(8k + -19) Combine like terms: 12 + -8 = 4 4 + 3k + -6k = 5(k + -3) + -1(8k + -19) Combine like terms: 3k + -6k = -3k 4 + -3k = 5(k + -3) + -1(8k + -19) Reorder the terms: 4 + -3k = 5(-3 + k) + -1(8k + -19) 4 + -3k = (-3 * 5 + k * 5) + -1(8k + -19) 4 + -3k = (-15 + 5k) + -1(8k + -19) Reorder the terms: 4 + -3k = -15 + 5k + -1(-19 + 8k) 4 + -3k = -15 + 5k + (-19 * -1 + 8k * -1) 4 + -3k = -15 + 5k + (19 + -8k) Reorder the terms: 4 + -3k = -15 + 19 + 5k + -8k Combine like terms: -15 + 19 = 4 4 + -3k = 4 + 5k + -8k Combine like terms: 5k + -8k = -3k 4 + -3k = 4 + -3k Add '-4' to each side of the equation. 4 + -4 + -3k = 4 + -4 + -3k Combine like terms: 4 + -4 = 0 0 + -3k = 4 + -4 + -3k -3k = 4 + -4 + -3k Combine like terms: 4 + -4 = 0 -3k = 0 + -3k -3k = -3k Add '3k' to each side of the equation. -3k + 3k = -3k + 3k Combine like terms: -3k + 3k = 0 0 = -3k + 3k Combine like terms: -3k + 3k = 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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