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Simplifying 7(3k + -4) = 11(2k + 5) Reorder the terms: 7(-4 + 3k) = 11(2k + 5) (-4 * 7 + 3k * 7) = 11(2k + 5) (-28 + 21k) = 11(2k + 5) Reorder the terms: -28 + 21k = 11(5 + 2k) -28 + 21k = (5 * 11 + 2k * 11) -28 + 21k = (55 + 22k) Solving -28 + 21k = 55 + 22k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-22k' to each side of the equation. -28 + 21k + -22k = 55 + 22k + -22k Combine like terms: 21k + -22k = -1k -28 + -1k = 55 + 22k + -22k Combine like terms: 22k + -22k = 0 -28 + -1k = 55 + 0 -28 + -1k = 55 Add '28' to each side of the equation. -28 + 28 + -1k = 55 + 28 Combine like terms: -28 + 28 = 0 0 + -1k = 55 + 28 -1k = 55 + 28 Combine like terms: 55 + 28 = 83 -1k = 83 Divide each side by '-1'. k = -83 Simplifying k = -83
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