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Simplifying 8(4k + -32) = -5k + -32 Reorder the terms: 8(-32 + 4k) = -5k + -32 (-32 * 8 + 4k * 8) = -5k + -32 (-256 + 32k) = -5k + -32 Reorder the terms: -256 + 32k = -32 + -5k Solving -256 + 32k = -32 + -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. -256 + 32k + 5k = -32 + -5k + 5k Combine like terms: 32k + 5k = 37k -256 + 37k = -32 + -5k + 5k Combine like terms: -5k + 5k = 0 -256 + 37k = -32 + 0 -256 + 37k = -32 Add '256' to each side of the equation. -256 + 256 + 37k = -32 + 256 Combine like terms: -256 + 256 = 0 0 + 37k = -32 + 256 37k = -32 + 256 Combine like terms: -32 + 256 = 224 37k = 224 Divide each side by '37'. k = 6.054054054 Simplifying k = 6.054054054
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