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Simplifying 107 = 3 + 4(6k + -4) Reorder the terms: 107 = 3 + 4(-4 + 6k) 107 = 3 + (-4 * 4 + 6k * 4) 107 = 3 + (-16 + 24k) Combine like terms: 3 + -16 = -13 107 = -13 + 24k Solving 107 = -13 + 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. 107 + -24k = -13 + 24k + -24k Combine like terms: 24k + -24k = 0 107 + -24k = -13 + 0 107 + -24k = -13 Add '-107' to each side of the equation. 107 + -107 + -24k = -13 + -107 Combine like terms: 107 + -107 = 0 0 + -24k = -13 + -107 -24k = -13 + -107 Combine like terms: -13 + -107 = -120 -24k = -120 Divide each side by '-24'. k = 5 Simplifying k = 5
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