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Simplifying 4k + -4(3k + 4) = 2k + (5k + -21) Reorder the terms: 4k + -4(4 + 3k) = 2k + (5k + -21) 4k + (4 * -4 + 3k * -4) = 2k + (5k + -21) 4k + (-16 + -12k) = 2k + (5k + -21) Reorder the terms: -16 + 4k + -12k = 2k + (5k + -21) Combine like terms: 4k + -12k = -8k -16 + -8k = 2k + (5k + -21) Reorder the terms: -16 + -8k = 2k + (-21 + 5k) Remove parenthesis around (-21 + 5k) -16 + -8k = 2k + -21 + 5k Reorder the terms: -16 + -8k = -21 + 2k + 5k Combine like terms: 2k + 5k = 7k -16 + -8k = -21 + 7k Solving -16 + -8k = -21 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. -16 + -8k + -7k = -21 + 7k + -7k Combine like terms: -8k + -7k = -15k -16 + -15k = -21 + 7k + -7k Combine like terms: 7k + -7k = 0 -16 + -15k = -21 + 0 -16 + -15k = -21 Add '16' to each side of the equation. -16 + 16 + -15k = -21 + 16 Combine like terms: -16 + 16 = 0 0 + -15k = -21 + 16 -15k = -21 + 16 Combine like terms: -21 + 16 = -5 -15k = -5 Divide each side by '-15'. k = 0.3333333333 Simplifying k = 0.3333333333
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