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Simplifying 4k + -12 = 6(k + 1) Reorder the terms: -12 + 4k = 6(k + 1) Reorder the terms: -12 + 4k = 6(1 + k) -12 + 4k = (1 * 6 + k * 6) -12 + 4k = (6 + 6k) Solving -12 + 4k = 6 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -12 + 4k + -6k = 6 + 6k + -6k Combine like terms: 4k + -6k = -2k -12 + -2k = 6 + 6k + -6k Combine like terms: 6k + -6k = 0 -12 + -2k = 6 + 0 -12 + -2k = 6 Add '12' to each side of the equation. -12 + 12 + -2k = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -2k = 6 + 12 -2k = 6 + 12 Combine like terms: 6 + 12 = 18 -2k = 18 Divide each side by '-2'. k = -9 Simplifying k = -9
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