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Simplifying -4(k + 1) + -1k + -8 = -5(k + 5) + 13 Reorder the terms: -4(1 + k) + -1k + -8 = -5(k + 5) + 13 (1 * -4 + k * -4) + -1k + -8 = -5(k + 5) + 13 (-4 + -4k) + -1k + -8 = -5(k + 5) + 13 Reorder the terms: -4 + -8 + -4k + -1k = -5(k + 5) + 13 Combine like terms: -4 + -8 = -12 -12 + -4k + -1k = -5(k + 5) + 13 Combine like terms: -4k + -1k = -5k -12 + -5k = -5(k + 5) + 13 Reorder the terms: -12 + -5k = -5(5 + k) + 13 -12 + -5k = (5 * -5 + k * -5) + 13 -12 + -5k = (-25 + -5k) + 13 Reorder the terms: -12 + -5k = -25 + 13 + -5k Combine like terms: -25 + 13 = -12 -12 + -5k = -12 + -5k Add '12' to each side of the equation. -12 + 12 + -5k = -12 + 12 + -5k Combine like terms: -12 + 12 = 0 0 + -5k = -12 + 12 + -5k -5k = -12 + 12 + -5k Combine like terms: -12 + 12 = 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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