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Simplifying -5(k + 2) + -1k + -9 = -6(k + 5) + 11 Reorder the terms: -5(2 + k) + -1k + -9 = -6(k + 5) + 11 (2 * -5 + k * -5) + -1k + -9 = -6(k + 5) + 11 (-10 + -5k) + -1k + -9 = -6(k + 5) + 11 Reorder the terms: -10 + -9 + -5k + -1k = -6(k + 5) + 11 Combine like terms: -10 + -9 = -19 -19 + -5k + -1k = -6(k + 5) + 11 Combine like terms: -5k + -1k = -6k -19 + -6k = -6(k + 5) + 11 Reorder the terms: -19 + -6k = -6(5 + k) + 11 -19 + -6k = (5 * -6 + k * -6) + 11 -19 + -6k = (-30 + -6k) + 11 Reorder the terms: -19 + -6k = -30 + 11 + -6k Combine like terms: -30 + 11 = -19 -19 + -6k = -19 + -6k Add '19' to each side of the equation. -19 + 19 + -6k = -19 + 19 + -6k Combine like terms: -19 + 19 = 0 0 + -6k = -19 + 19 + -6k -6k = -19 + 19 + -6k Combine like terms: -19 + 19 = 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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