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Simplifying -4(k + 1) + -1k + -10 = -5(k + 5) + 11 Reorder the terms: -4(1 + k) + -1k + -10 = -5(k + 5) + 11 (1 * -4 + k * -4) + -1k + -10 = -5(k + 5) + 11 (-4 + -4k) + -1k + -10 = -5(k + 5) + 11 Reorder the terms: -4 + -10 + -4k + -1k = -5(k + 5) + 11 Combine like terms: -4 + -10 = -14 -14 + -4k + -1k = -5(k + 5) + 11 Combine like terms: -4k + -1k = -5k -14 + -5k = -5(k + 5) + 11 Reorder the terms: -14 + -5k = -5(5 + k) + 11 -14 + -5k = (5 * -5 + k * -5) + 11 -14 + -5k = (-25 + -5k) + 11 Reorder the terms: -14 + -5k = -25 + 11 + -5k Combine like terms: -25 + 11 = -14 -14 + -5k = -14 + -5k Add '14' to each side of the equation. -14 + 14 + -5k = -14 + 14 + -5k Combine like terms: -14 + 14 = 0 0 + -5k = -14 + 14 + -5k -5k = -14 + 14 + -5k Combine like terms: -14 + 14 = 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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