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Simplifying 2.4k + 1 = 1(2k + -4) Reorder the terms: 1 + 2.4k = 1(2k + -4) Reorder the terms: 1 + 2.4k = 1(-4 + 2k) 1 + 2.4k = (-4 * 1 + 2k * 1) 1 + 2.4k = (-4 + 2k) Solving 1 + 2.4k = -4 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 1 + 2.4k + -2k = -4 + 2k + -2k Combine like terms: 2.4k + -2k = 0.4k 1 + 0.4k = -4 + 2k + -2k Combine like terms: 2k + -2k = 0 1 + 0.4k = -4 + 0 1 + 0.4k = -4 Add '-1' to each side of the equation. 1 + -1 + 0.4k = -4 + -1 Combine like terms: 1 + -1 = 0 0 + 0.4k = -4 + -1 0.4k = -4 + -1 Combine like terms: -4 + -1 = -5 0.4k = -5 Divide each side by '0.4'. k = -12.5 Simplifying k = -12.5
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