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Simplifying 5(k + -2) = 3k + 4(2k + 2) Reorder the terms: 5(-2 + k) = 3k + 4(2k + 2) (-2 * 5 + k * 5) = 3k + 4(2k + 2) (-10 + 5k) = 3k + 4(2k + 2) Reorder the terms: -10 + 5k = 3k + 4(2 + 2k) -10 + 5k = 3k + (2 * 4 + 2k * 4) -10 + 5k = 3k + (8 + 8k) Reorder the terms: -10 + 5k = 8 + 3k + 8k Combine like terms: 3k + 8k = 11k -10 + 5k = 8 + 11k Solving -10 + 5k = 8 + 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. -10 + 5k + -11k = 8 + 11k + -11k Combine like terms: 5k + -11k = -6k -10 + -6k = 8 + 11k + -11k Combine like terms: 11k + -11k = 0 -10 + -6k = 8 + 0 -10 + -6k = 8 Add '10' to each side of the equation. -10 + 10 + -6k = 8 + 10 Combine like terms: -10 + 10 = 0 0 + -6k = 8 + 10 -6k = 8 + 10 Combine like terms: 8 + 10 = 18 -6k = 18 Divide each side by '-6'. k = -3 Simplifying k = -3
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