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Simplifying -31 + -3k = -7 + 8(4k + -3) Reorder the terms: -31 + -3k = -7 + 8(-3 + 4k) -31 + -3k = -7 + (-3 * 8 + 4k * 8) -31 + -3k = -7 + (-24 + 32k) Combine like terms: -7 + -24 = -31 -31 + -3k = -31 + 32k Add '31' to each side of the equation. -31 + 31 + -3k = -31 + 31 + 32k Combine like terms: -31 + 31 = 0 0 + -3k = -31 + 31 + 32k -3k = -31 + 31 + 32k Combine like terms: -31 + 31 = 0 -3k = 0 + 32k -3k = 32k Solving -3k = 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. -3k + -32k = 32k + -32k Combine like terms: -3k + -32k = -35k -35k = 32k + -32k Combine like terms: 32k + -32k = 0 -35k = 0 Divide each side by '-35'. k = 0 Simplifying k = 0
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