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Simplifying 6(3k + -5) = 7(3k + -2) Reorder the terms: 6(-5 + 3k) = 7(3k + -2) (-5 * 6 + 3k * 6) = 7(3k + -2) (-30 + 18k) = 7(3k + -2) Reorder the terms: -30 + 18k = 7(-2 + 3k) -30 + 18k = (-2 * 7 + 3k * 7) -30 + 18k = (-14 + 21k) Solving -30 + 18k = -14 + 21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21k' to each side of the equation. -30 + 18k + -21k = -14 + 21k + -21k Combine like terms: 18k + -21k = -3k -30 + -3k = -14 + 21k + -21k Combine like terms: 21k + -21k = 0 -30 + -3k = -14 + 0 -30 + -3k = -14 Add '30' to each side of the equation. -30 + 30 + -3k = -14 + 30 Combine like terms: -30 + 30 = 0 0 + -3k = -14 + 30 -3k = -14 + 30 Combine like terms: -14 + 30 = 16 -3k = 16 Divide each side by '-3'. k = -5.333333333 Simplifying k = -5.333333333
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