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Simplifying 5(8k + -4) = -7(6 + -3k) + 3 Reorder the terms: 5(-4 + 8k) = -7(6 + -3k) + 3 (-4 * 5 + 8k * 5) = -7(6 + -3k) + 3 (-20 + 40k) = -7(6 + -3k) + 3 -20 + 40k = (6 * -7 + -3k * -7) + 3 -20 + 40k = (-42 + 21k) + 3 Reorder the terms: -20 + 40k = -42 + 3 + 21k Combine like terms: -42 + 3 = -39 -20 + 40k = -39 + 21k Solving -20 + 40k = -39 + 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. -20 + 40k + -21k = -39 + 21k + -21k Combine like terms: 40k + -21k = 19k -20 + 19k = -39 + 21k + -21k Combine like terms: 21k + -21k = 0 -20 + 19k = -39 + 0 -20 + 19k = -39 Add '20' to each side of the equation. -20 + 20 + 19k = -39 + 20 Combine like terms: -20 + 20 = 0 0 + 19k = -39 + 20 19k = -39 + 20 Combine like terms: -39 + 20 = -19 19k = -19 Divide each side by '19'. k = -1 Simplifying k = -1
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