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Simplifying 8(5k + -4) = -5k + 13 Reorder the terms: 8(-4 + 5k) = -5k + 13 (-4 * 8 + 5k * 8) = -5k + 13 (-32 + 40k) = -5k + 13 Reorder the terms: -32 + 40k = 13 + -5k Solving -32 + 40k = 13 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -32 + 40k + 5k = 13 + -5k + 5k Combine like terms: 40k + 5k = 45k -32 + 45k = 13 + -5k + 5k Combine like terms: -5k + 5k = 0 -32 + 45k = 13 + 0 -32 + 45k = 13 Add '32' to each side of the equation. -32 + 32 + 45k = 13 + 32 Combine like terms: -32 + 32 = 0 0 + 45k = 13 + 32 45k = 13 + 32 Combine like terms: 13 + 32 = 45 45k = 45 Divide each side by '45'. k = 1 Simplifying k = 1
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