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Simplifying 6(5k + -8) + -20 = 22k + -33 + 13k Reorder the terms: 6(-8 + 5k) + -20 = 22k + -33 + 13k (-8 * 6 + 5k * 6) + -20 = 22k + -33 + 13k (-48 + 30k) + -20 = 22k + -33 + 13k Reorder the terms: -48 + -20 + 30k = 22k + -33 + 13k Combine like terms: -48 + -20 = -68 -68 + 30k = 22k + -33 + 13k Reorder the terms: -68 + 30k = -33 + 22k + 13k Combine like terms: 22k + 13k = 35k -68 + 30k = -33 + 35k Solving -68 + 30k = -33 + 35k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-35k' to each side of the equation. -68 + 30k + -35k = -33 + 35k + -35k Combine like terms: 30k + -35k = -5k -68 + -5k = -33 + 35k + -35k Combine like terms: 35k + -35k = 0 -68 + -5k = -33 + 0 -68 + -5k = -33 Add '68' to each side of the equation. -68 + 68 + -5k = -33 + 68 Combine like terms: -68 + 68 = 0 0 + -5k = -33 + 68 -5k = -33 + 68 Combine like terms: -33 + 68 = 35 -5k = 35 Divide each side by '-5'. k = -7 Simplifying k = -7
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