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Simplifying 6k + -4 = 3(k + -5) Reorder the terms: -4 + 6k = 3(k + -5) Reorder the terms: -4 + 6k = 3(-5 + k) -4 + 6k = (-5 * 3 + k * 3) -4 + 6k = (-15 + 3k) Solving -4 + 6k = -15 + 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. -4 + 6k + -3k = -15 + 3k + -3k Combine like terms: 6k + -3k = 3k -4 + 3k = -15 + 3k + -3k Combine like terms: 3k + -3k = 0 -4 + 3k = -15 + 0 -4 + 3k = -15 Add '4' to each side of the equation. -4 + 4 + 3k = -15 + 4 Combine like terms: -4 + 4 = 0 0 + 3k = -15 + 4 3k = -15 + 4 Combine like terms: -15 + 4 = -11 3k = -11 Divide each side by '3'. k = -3.666666667 Simplifying k = -3.666666667
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