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Simplifying -40 = -3(k + 5) + -5(6k + 5) Reorder the terms: -40 = -3(5 + k) + -5(6k + 5) -40 = (5 * -3 + k * -3) + -5(6k + 5) -40 = (-15 + -3k) + -5(6k + 5) Reorder the terms: -40 = -15 + -3k + -5(5 + 6k) -40 = -15 + -3k + (5 * -5 + 6k * -5) -40 = -15 + -3k + (-25 + -30k) Reorder the terms: -40 = -15 + -25 + -3k + -30k Combine like terms: -15 + -25 = -40 -40 = -40 + -3k + -30k Combine like terms: -3k + -30k = -33k -40 = -40 + -33k Add '40' to each side of the equation. -40 + 40 = -40 + 40 + -33k Combine like terms: -40 + 40 = 0 0 = -40 + 40 + -33k Combine like terms: -40 + 40 = 0 0 = 0 + -33k 0 = -33k Solving 0 = -33k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '33k' to each side of the equation. 0 + 33k = -33k + 33k Remove the zero: 33k = -33k + 33k Combine like terms: -33k + 33k = 0 33k = 0 Divide each side by '33'. k = 0 Simplifying k = 0
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