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Simplifying 4(k + -3) + -3k = 3 + 4k Reorder the terms: 4(-3 + k) + -3k = 3 + 4k (-3 * 4 + k * 4) + -3k = 3 + 4k (-12 + 4k) + -3k = 3 + 4k Combine like terms: 4k + -3k = 1k -12 + 1k = 3 + 4k Solving -12 + 1k = 3 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -12 + 1k + -4k = 3 + 4k + -4k Combine like terms: 1k + -4k = -3k -12 + -3k = 3 + 4k + -4k Combine like terms: 4k + -4k = 0 -12 + -3k = 3 + 0 -12 + -3k = 3 Add '12' to each side of the equation. -12 + 12 + -3k = 3 + 12 Combine like terms: -12 + 12 = 0 0 + -3k = 3 + 12 -3k = 3 + 12 Combine like terms: 3 + 12 = 15 -3k = 15 Divide each side by '-3'. k = -5 Simplifying k = -5
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