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Simplifying -4(k + 2) + -1k + -5 = -5(k + 4) + 7 Reorder the terms: -4(2 + k) + -1k + -5 = -5(k + 4) + 7 (2 * -4 + k * -4) + -1k + -5 = -5(k + 4) + 7 (-8 + -4k) + -1k + -5 = -5(k + 4) + 7 Reorder the terms: -8 + -5 + -4k + -1k = -5(k + 4) + 7 Combine like terms: -8 + -5 = -13 -13 + -4k + -1k = -5(k + 4) + 7 Combine like terms: -4k + -1k = -5k -13 + -5k = -5(k + 4) + 7 Reorder the terms: -13 + -5k = -5(4 + k) + 7 -13 + -5k = (4 * -5 + k * -5) + 7 -13 + -5k = (-20 + -5k) + 7 Reorder the terms: -13 + -5k = -20 + 7 + -5k Combine like terms: -20 + 7 = -13 -13 + -5k = -13 + -5k Add '13' to each side of the equation. -13 + 13 + -5k = -13 + 13 + -5k Combine like terms: -13 + 13 = 0 0 + -5k = -13 + 13 + -5k -5k = -13 + 13 + -5k Combine like terms: -13 + 13 = 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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