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Simplifying 4k + 12 + 2 = 4.5(k + 1) Reorder the terms: 12 + 2 + 4k = 4.5(k + 1) Combine like terms: 12 + 2 = 14 14 + 4k = 4.5(k + 1) Reorder the terms: 14 + 4k = 4.5(1 + k) 14 + 4k = (1 * 4.5 + k * 4.5) 14 + 4k = (4.5 + 4.5k) Solving 14 + 4k = 4.5 + 4.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4.5k' to each side of the equation. 14 + 4k + -4.5k = 4.5 + 4.5k + -4.5k Combine like terms: 4k + -4.5k = -0.5k 14 + -0.5k = 4.5 + 4.5k + -4.5k Combine like terms: 4.5k + -4.5k = 0.0 14 + -0.5k = 4.5 + 0.0 14 + -0.5k = 4.5 Add '-14' to each side of the equation. 14 + -14 + -0.5k = 4.5 + -14 Combine like terms: 14 + -14 = 0 0 + -0.5k = 4.5 + -14 -0.5k = 4.5 + -14 Combine like terms: 4.5 + -14 = -9.5 -0.5k = -9.5 Divide each side by '-0.5'. k = 19 Simplifying k = 19
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