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Simplifying 3k + -5 = -8(6 + 5k) Reorder the terms: -5 + 3k = -8(6 + 5k) -5 + 3k = (6 * -8 + 5k * -8) -5 + 3k = (-48 + -40k) Solving -5 + 3k = -48 + -40k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '40k' to each side of the equation. -5 + 3k + 40k = -48 + -40k + 40k Combine like terms: 3k + 40k = 43k -5 + 43k = -48 + -40k + 40k Combine like terms: -40k + 40k = 0 -5 + 43k = -48 + 0 -5 + 43k = -48 Add '5' to each side of the equation. -5 + 5 + 43k = -48 + 5 Combine like terms: -5 + 5 = 0 0 + 43k = -48 + 5 43k = -48 + 5 Combine like terms: -48 + 5 = -43 43k = -43 Divide each side by '43'. k = -1 Simplifying k = -1
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