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Simplifying 4(k + -3) + -1k = k + -1b Reorder the terms: 4(-3 + k) + -1k = k + -1b (-3 * 4 + k * 4) + -1k = k + -1b (-12 + 4k) + -1k = k + -1b Combine like terms: 4k + -1k = 3k -12 + 3k = k + -1b Reorder the terms: -12 + 3k = -1b + k Solving -12 + 3k = -1b + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -12 + 3k + -1k = -1b + k + -1k Combine like terms: 3k + -1k = 2k -12 + 2k = -1b + k + -1k Combine like terms: k + -1k = 0 -12 + 2k = -1b + 0 -12 + 2k = -1b Add '12' to each side of the equation. -12 + 12 + 2k = 12 + -1b Combine like terms: -12 + 12 = 0 0 + 2k = 12 + -1b 2k = 12 + -1b Divide each side by '2'. k = 6 + -0.5b Simplifying k = 6 + -0.5b
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