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Simplifying -5(k + 1) + -1k + -12 = -6(k + 5) + 13 Reorder the terms: -5(1 + k) + -1k + -12 = -6(k + 5) + 13 (1 * -5 + k * -5) + -1k + -12 = -6(k + 5) + 13 (-5 + -5k) + -1k + -12 = -6(k + 5) + 13 Reorder the terms: -5 + -12 + -5k + -1k = -6(k + 5) + 13 Combine like terms: -5 + -12 = -17 -17 + -5k + -1k = -6(k + 5) + 13 Combine like terms: -5k + -1k = -6k -17 + -6k = -6(k + 5) + 13 Reorder the terms: -17 + -6k = -6(5 + k) + 13 -17 + -6k = (5 * -6 + k * -6) + 13 -17 + -6k = (-30 + -6k) + 13 Reorder the terms: -17 + -6k = -30 + 13 + -6k Combine like terms: -30 + 13 = -17 -17 + -6k = -17 + -6k Add '17' to each side of the equation. -17 + 17 + -6k = -17 + 17 + -6k Combine like terms: -17 + 17 = 0 0 + -6k = -17 + 17 + -6k -6k = -17 + 17 + -6k Combine like terms: -17 + 17 = 0 -6k = 0 + -6k -6k = -6k Add '6k' to each side of the equation. -6k + 6k = -6k + 6k Combine like terms: -6k + 6k = 0 0 = -6k + 6k Combine like terms: -6k + 6k = 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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