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Simplifying 8(4k + -4) = -5k + 42 Reorder the terms: 8(-4 + 4k) = -5k + 42 (-4 * 8 + 4k * 8) = -5k + 42 (-32 + 32k) = -5k + 42 Reorder the terms: -32 + 32k = 42 + -5k Solving -32 + 32k = 42 + -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 + 32k + 5k = 42 + -5k + 5k Combine like terms: 32k + 5k = 37k -32 + 37k = 42 + -5k + 5k Combine like terms: -5k + 5k = 0 -32 + 37k = 42 + 0 -32 + 37k = 42 Add '32' to each side of the equation. -32 + 32 + 37k = 42 + 32 Combine like terms: -32 + 32 = 0 0 + 37k = 42 + 32 37k = 42 + 32 Combine like terms: 42 + 32 = 74 37k = 74 Divide each side by '37'. k = 2 Simplifying k = 2
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