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Simplifying 4(k + -3) = 12 + -1(2k + -6) Reorder the terms: 4(-3 + k) = 12 + -1(2k + -6) (-3 * 4 + k * 4) = 12 + -1(2k + -6) (-12 + 4k) = 12 + -1(2k + -6) Reorder the terms: -12 + 4k = 12 + -1(-6 + 2k) -12 + 4k = 12 + (-6 * -1 + 2k * -1) -12 + 4k = 12 + (6 + -2k) Combine like terms: 12 + 6 = 18 -12 + 4k = 18 + -2k Solving -12 + 4k = 18 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -12 + 4k + 2k = 18 + -2k + 2k Combine like terms: 4k + 2k = 6k -12 + 6k = 18 + -2k + 2k Combine like terms: -2k + 2k = 0 -12 + 6k = 18 + 0 -12 + 6k = 18 Add '12' to each side of the equation. -12 + 12 + 6k = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 6k = 18 + 12 6k = 18 + 12 Combine like terms: 18 + 12 = 30 6k = 30 Divide each side by '6'. k = 5 Simplifying k = 5
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