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Simplifying 5(k + -4) + -1 = 7(k + -3) + -2k Reorder the terms: 5(-4 + k) + -1 = 7(k + -3) + -2k (-4 * 5 + k * 5) + -1 = 7(k + -3) + -2k (-20 + 5k) + -1 = 7(k + -3) + -2k Reorder the terms: -20 + -1 + 5k = 7(k + -3) + -2k Combine like terms: -20 + -1 = -21 -21 + 5k = 7(k + -3) + -2k Reorder the terms: -21 + 5k = 7(-3 + k) + -2k -21 + 5k = (-3 * 7 + k * 7) + -2k -21 + 5k = (-21 + 7k) + -2k Combine like terms: 7k + -2k = 5k -21 + 5k = -21 + 5k Add '21' to each side of the equation. -21 + 21 + 5k = -21 + 21 + 5k Combine like terms: -21 + 21 = 0 0 + 5k = -21 + 21 + 5k 5k = -21 + 21 + 5k Combine like terms: -21 + 21 = 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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