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Simplifying -112 = k + -4(-6k + 3) Reorder the terms: -112 = k + -4(3 + -6k) -112 = k + (3 * -4 + -6k * -4) -112 = k + (-12 + 24k) Reorder the terms: -112 = -12 + k + 24k Combine like terms: k + 24k = 25k -112 = -12 + 25k Solving -112 = -12 + 25k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-25k' to each side of the equation. -112 + -25k = -12 + 25k + -25k Combine like terms: 25k + -25k = 0 -112 + -25k = -12 + 0 -112 + -25k = -12 Add '112' to each side of the equation. -112 + 112 + -25k = -12 + 112 Combine like terms: -112 + 112 = 0 0 + -25k = -12 + 112 -25k = -12 + 112 Combine like terms: -12 + 112 = 100 -25k = 100 Divide each side by '-25'. k = -4 Simplifying k = -4
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