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Simplifying 8(k + -4) + -5k + 3 = 4 Reorder the terms: 8(-4 + k) + -5k + 3 = 4 (-4 * 8 + k * 8) + -5k + 3 = 4 (-32 + 8k) + -5k + 3 = 4 Reorder the terms: -32 + 3 + 8k + -5k = 4 Combine like terms: -32 + 3 = -29 -29 + 8k + -5k = 4 Combine like terms: 8k + -5k = 3k -29 + 3k = 4 Solving -29 + 3k = 4 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 3k = 4 + 29 Combine like terms: -29 + 29 = 0 0 + 3k = 4 + 29 3k = 4 + 29 Combine like terms: 4 + 29 = 33 3k = 33 Divide each side by '3'. k = 11 Simplifying k = 11
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