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Simplifying -4(k + 3) + -1k + -7 = -5(k + 5) + 6 Reorder the terms: -4(3 + k) + -1k + -7 = -5(k + 5) + 6 (3 * -4 + k * -4) + -1k + -7 = -5(k + 5) + 6 (-12 + -4k) + -1k + -7 = -5(k + 5) + 6 Reorder the terms: -12 + -7 + -4k + -1k = -5(k + 5) + 6 Combine like terms: -12 + -7 = -19 -19 + -4k + -1k = -5(k + 5) + 6 Combine like terms: -4k + -1k = -5k -19 + -5k = -5(k + 5) + 6 Reorder the terms: -19 + -5k = -5(5 + k) + 6 -19 + -5k = (5 * -5 + k * -5) + 6 -19 + -5k = (-25 + -5k) + 6 Reorder the terms: -19 + -5k = -25 + 6 + -5k Combine like terms: -25 + 6 = -19 -19 + -5k = -19 + -5k Add '19' to each side of the equation. -19 + 19 + -5k = -19 + 19 + -5k Combine like terms: -19 + 19 = 0 0 + -5k = -19 + 19 + -5k -5k = -19 + 19 + -5k Combine like terms: -19 + 19 = 0 -5k = 0 + -5k -5k = -5k Add '5k' to each side of the equation. -5k + 5k = -5k + 5k Combine like terms: -5k + 5k = 0 0 = -5k + 5k Combine like terms: -5k + 5k = 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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