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Simplifying -5k + -32 = 8(4k + -4) Reorder the terms: -32 + -5k = 8(4k + -4) Reorder the terms: -32 + -5k = 8(-4 + 4k) -32 + -5k = (-4 * 8 + 4k * 8) -32 + -5k = (-32 + 32k) Add '32' to each side of the equation. -32 + 32 + -5k = -32 + 32 + 32k Combine like terms: -32 + 32 = 0 0 + -5k = -32 + 32 + 32k -5k = -32 + 32 + 32k Combine like terms: -32 + 32 = 0 -5k = 0 + 32k -5k = 32k Solving -5k = 32k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-32k' to each side of the equation. -5k + -32k = 32k + -32k Combine like terms: -5k + -32k = -37k -37k = 32k + -32k Combine like terms: 32k + -32k = 0 -37k = 0 Divide each side by '-37'. k = 0 Simplifying k = 0
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