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Simplifying -125 = 3 + -4(-4 + 6k) -125 = 3 + (-4 * -4 + 6k * -4) -125 = 3 + (16 + -24k) Combine like terms: 3 + 16 = 19 -125 = 19 + -24k Solving -125 = 19 + -24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24k' to each side of the equation. -125 + 24k = 19 + -24k + 24k Combine like terms: -24k + 24k = 0 -125 + 24k = 19 + 0 -125 + 24k = 19 Add '125' to each side of the equation. -125 + 125 + 24k = 19 + 125 Combine like terms: -125 + 125 = 0 0 + 24k = 19 + 125 24k = 19 + 125 Combine like terms: 19 + 125 = 144 24k = 144 Divide each side by '24'. k = 6 Simplifying k = 6
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