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Simplifying 4(k + -3) = 2 + -1(2k + -1k) Reorder the terms: 4(-3 + k) = 2 + -1(2k + -1k) (-3 * 4 + k * 4) = 2 + -1(2k + -1k) (-12 + 4k) = 2 + -1(2k + -1k) Combine like terms: 2k + -1k = 1k -12 + 4k = 2 + -1(1k) Remove parenthesis around (1k) -12 + 4k = 2 + -1 * 1k Multiply -1 * 1 -12 + 4k = 2 + -1k Solving -12 + 4k = 2 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -12 + 4k + k = 2 + -1k + k Combine like terms: 4k + k = 5k -12 + 5k = 2 + -1k + k Combine like terms: -1k + k = 0 -12 + 5k = 2 + 0 -12 + 5k = 2 Add '12' to each side of the equation. -12 + 12 + 5k = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 5k = 2 + 12 5k = 2 + 12 Combine like terms: 2 + 12 = 14 5k = 14 Divide each side by '5'. k = 2.8 Simplifying k = 2.8
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