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Simplifying -20 + -5k = -5k + -2(1 + 3k) -20 + -5k = -5k + (1 * -2 + 3k * -2) -20 + -5k = -5k + (-2 + -6k) Reorder the terms: -20 + -5k = -2 + -5k + -6k Combine like terms: -5k + -6k = -11k -20 + -5k = -2 + -11k Solving -20 + -5k = -2 + -11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11k' to each side of the equation. -20 + -5k + 11k = -2 + -11k + 11k Combine like terms: -5k + 11k = 6k -20 + 6k = -2 + -11k + 11k Combine like terms: -11k + 11k = 0 -20 + 6k = -2 + 0 -20 + 6k = -2 Add '20' to each side of the equation. -20 + 20 + 6k = -2 + 20 Combine like terms: -20 + 20 = 0 0 + 6k = -2 + 20 6k = -2 + 20 Combine like terms: -2 + 20 = 18 6k = 18 Divide each side by '6'. k = 3 Simplifying k = 3
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