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Simplifying -4(k + 1) + -1k + -7 = -5(k + 4) + 9 Reorder the terms: -4(1 + k) + -1k + -7 = -5(k + 4) + 9 (1 * -4 + k * -4) + -1k + -7 = -5(k + 4) + 9 (-4 + -4k) + -1k + -7 = -5(k + 4) + 9 Reorder the terms: -4 + -7 + -4k + -1k = -5(k + 4) + 9 Combine like terms: -4 + -7 = -11 -11 + -4k + -1k = -5(k + 4) + 9 Combine like terms: -4k + -1k = -5k -11 + -5k = -5(k + 4) + 9 Reorder the terms: -11 + -5k = -5(4 + k) + 9 -11 + -5k = (4 * -5 + k * -5) + 9 -11 + -5k = (-20 + -5k) + 9 Reorder the terms: -11 + -5k = -20 + 9 + -5k Combine like terms: -20 + 9 = -11 -11 + -5k = -11 + -5k Add '11' to each side of the equation. -11 + 11 + -5k = -11 + 11 + -5k Combine like terms: -11 + 11 = 0 0 + -5k = -11 + 11 + -5k -5k = -11 + 11 + -5k Combine like terms: -11 + 11 = 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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