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Simplifying 49k + 5 = 2(9k + -4) Reorder the terms: 5 + 49k = 2(9k + -4) Reorder the terms: 5 + 49k = 2(-4 + 9k) 5 + 49k = (-4 * 2 + 9k * 2) 5 + 49k = (-8 + 18k) Solving 5 + 49k = -8 + 18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18k' to each side of the equation. 5 + 49k + -18k = -8 + 18k + -18k Combine like terms: 49k + -18k = 31k 5 + 31k = -8 + 18k + -18k Combine like terms: 18k + -18k = 0 5 + 31k = -8 + 0 5 + 31k = -8 Add '-5' to each side of the equation. 5 + -5 + 31k = -8 + -5 Combine like terms: 5 + -5 = 0 0 + 31k = -8 + -5 31k = -8 + -5 Combine like terms: -8 + -5 = -13 31k = -13 Divide each side by '31'. k = -0.4193548387 Simplifying k = -0.4193548387
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