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Simplifying 7(3k + -4) = -16 + 4(-3 + 4k) + 5k Reorder the terms: 7(-4 + 3k) = -16 + 4(-3 + 4k) + 5k (-4 * 7 + 3k * 7) = -16 + 4(-3 + 4k) + 5k (-28 + 21k) = -16 + 4(-3 + 4k) + 5k -28 + 21k = -16 + (-3 * 4 + 4k * 4) + 5k -28 + 21k = -16 + (-12 + 16k) + 5k Combine like terms: -16 + -12 = -28 -28 + 21k = -28 + 16k + 5k Combine like terms: 16k + 5k = 21k -28 + 21k = -28 + 21k Add '28' to each side of the equation. -28 + 28 + 21k = -28 + 28 + 21k Combine like terms: -28 + 28 = 0 0 + 21k = -28 + 28 + 21k 21k = -28 + 28 + 21k Combine like terms: -28 + 28 = 0 21k = 0 + 21k 21k = 21k Add '-21k' to each side of the equation. 21k + -21k = 21k + -21k Combine like terms: 21k + -21k = 0 0 = 21k + -21k Combine like terms: 21k + -21k = 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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