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Simplifying 4(k + -3) = 2(k + 1) + -6 Reorder the terms: 4(-3 + k) = 2(k + 1) + -6 (-3 * 4 + k * 4) = 2(k + 1) + -6 (-12 + 4k) = 2(k + 1) + -6 Reorder the terms: -12 + 4k = 2(1 + k) + -6 -12 + 4k = (1 * 2 + k * 2) + -6 -12 + 4k = (2 + 2k) + -6 Reorder the terms: -12 + 4k = 2 + -6 + 2k Combine like terms: 2 + -6 = -4 -12 + 4k = -4 + 2k Solving -12 + 4k = -4 + 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 = -4 + 2k + -2k Combine like terms: 4k + -2k = 2k -12 + 2k = -4 + 2k + -2k Combine like terms: 2k + -2k = 0 -12 + 2k = -4 + 0 -12 + 2k = -4 Add '12' to each side of the equation. -12 + 12 + 2k = -4 + 12 Combine like terms: -12 + 12 = 0 0 + 2k = -4 + 12 2k = -4 + 12 Combine like terms: -4 + 12 = 8 2k = 8 Divide each side by '2'. k = 4 Simplifying k = 4
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