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Simplifying -6(8 + -12k) = 6(13k + 7) (8 * -6 + -12k * -6) = 6(13k + 7) (-48 + 72k) = 6(13k + 7) Reorder the terms: -48 + 72k = 6(7 + 13k) -48 + 72k = (7 * 6 + 13k * 6) -48 + 72k = (42 + 78k) Solving -48 + 72k = 42 + 78k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-78k' to each side of the equation. -48 + 72k + -78k = 42 + 78k + -78k Combine like terms: 72k + -78k = -6k -48 + -6k = 42 + 78k + -78k Combine like terms: 78k + -78k = 0 -48 + -6k = 42 + 0 -48 + -6k = 42 Add '48' to each side of the equation. -48 + 48 + -6k = 42 + 48 Combine like terms: -48 + 48 = 0 0 + -6k = 42 + 48 -6k = 42 + 48 Combine like terms: 42 + 48 = 90 -6k = 90 Divide each side by '-6'. k = -15 Simplifying k = -15
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