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Simplifying 7(3k + 4) + 5 = 4(5k + -3) + -8 Reorder the terms: 7(4 + 3k) + 5 = 4(5k + -3) + -8 (4 * 7 + 3k * 7) + 5 = 4(5k + -3) + -8 (28 + 21k) + 5 = 4(5k + -3) + -8 Reorder the terms: 28 + 5 + 21k = 4(5k + -3) + -8 Combine like terms: 28 + 5 = 33 33 + 21k = 4(5k + -3) + -8 Reorder the terms: 33 + 21k = 4(-3 + 5k) + -8 33 + 21k = (-3 * 4 + 5k * 4) + -8 33 + 21k = (-12 + 20k) + -8 Reorder the terms: 33 + 21k = -12 + -8 + 20k Combine like terms: -12 + -8 = -20 33 + 21k = -20 + 20k Solving 33 + 21k = -20 + 20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20k' to each side of the equation. 33 + 21k + -20k = -20 + 20k + -20k Combine like terms: 21k + -20k = 1k 33 + 1k = -20 + 20k + -20k Combine like terms: 20k + -20k = 0 33 + 1k = -20 + 0 33 + 1k = -20 Add '-33' to each side of the equation. 33 + -33 + 1k = -20 + -33 Combine like terms: 33 + -33 = 0 0 + 1k = -20 + -33 1k = -20 + -33 Combine like terms: -20 + -33 = -53 1k = -53 Divide each side by '1'. k = -53 Simplifying k = -53
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