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