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Simplifying 4(8 + -3k) = 7(-6m + -4) (8 * 4 + -3k * 4) = 7(-6m + -4) (32 + -12k) = 7(-6m + -4) Reorder the terms: 32 + -12k = 7(-4 + -6m) 32 + -12k = (-4 * 7 + -6m * 7) 32 + -12k = (-28 + -42m) Solving 32 + -12k = -28 + -42m Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -12k = -28 + -32 + -42m Combine like terms: 32 + -32 = 0 0 + -12k = -28 + -32 + -42m -12k = -28 + -32 + -42m Combine like terms: -28 + -32 = -60 -12k = -60 + -42m Divide each side by '-12'. k = 5 + 3.5m Simplifying k = 5 + 3.5m
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