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Simplifying 4(k + 3) + 2 = 2.5x + 4 Reorder the terms: 4(3 + k) + 2 = 2.5x + 4 (3 * 4 + k * 4) + 2 = 2.5x + 4 (12 + 4k) + 2 = 2.5x + 4 Reorder the terms: 12 + 2 + 4k = 2.5x + 4 Combine like terms: 12 + 2 = 14 14 + 4k = 2.5x + 4 Reorder the terms: 14 + 4k = 4 + 2.5x Solving 14 + 4k = 4 + 2.5x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 4k = 4 + -14 + 2.5x Combine like terms: 14 + -14 = 0 0 + 4k = 4 + -14 + 2.5x 4k = 4 + -14 + 2.5x Combine like terms: 4 + -14 = -10 4k = -10 + 2.5x Divide each side by '4'. k = -2.5 + 0.625x Simplifying k = -2.5 + 0.625x
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