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Simplifying 121.824 = -7.52(1 + 4k) 121.824 = (1 * -7.52 + 4k * -7.52) 121.824 = (-7.52 + -30.08k) Solving 121.824 = -7.52 + -30.08k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '30.08k' to each side of the equation. 121.824 + 30.08k = -7.52 + -30.08k + 30.08k Combine like terms: -30.08k + 30.08k = 0.00 121.824 + 30.08k = -7.52 + 0.00 121.824 + 30.08k = -7.52 Add '-121.824' to each side of the equation. 121.824 + -121.824 + 30.08k = -7.52 + -121.824 Combine like terms: 121.824 + -121.824 = 0.000 0.000 + 30.08k = -7.52 + -121.824 30.08k = -7.52 + -121.824 Combine like terms: -7.52 + -121.824 = -129.344 30.08k = -129.344 Divide each side by '30.08'. k = -4.3 Simplifying k = -4.3
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