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