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Simplifying 4(-1x + 7) + 2k = 91 + 5k Reorder the terms: 4(7 + -1x) + 2k = 91 + 5k (7 * 4 + -1x * 4) + 2k = 91 + 5k (28 + -4x) + 2k = 91 + 5k Reorder the terms: 28 + 2k + -4x = 91 + 5k Solving 28 + 2k + -4x = 91 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 28 + 2k + -5k + -4x = 91 + 5k + -5k Combine like terms: 2k + -5k = -3k 28 + -3k + -4x = 91 + 5k + -5k Combine like terms: 5k + -5k = 0 28 + -3k + -4x = 91 + 0 28 + -3k + -4x = 91 Add '-28' to each side of the equation. 28 + -3k + -28 + -4x = 91 + -28 Reorder the terms: 28 + -28 + -3k + -4x = 91 + -28 Combine like terms: 28 + -28 = 0 0 + -3k + -4x = 91 + -28 -3k + -4x = 91 + -28 Combine like terms: 91 + -28 = 63 -3k + -4x = 63 Add '4x' to each side of the equation. -3k + -4x + 4x = 63 + 4x Combine like terms: -4x + 4x = 0 -3k + 0 = 63 + 4x -3k = 63 + 4x Divide each side by '-3'. k = -21 + -1.333333333x Simplifying k = -21 + -1.333333333x
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