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Simplifying -10 = k + -2(3k + 3) Reorder the terms: -10 = k + -2(3 + 3k) -10 = k + (3 * -2 + 3k * -2) -10 = k + (-6 + -6k) Reorder the terms: -10 = -6 + k + -6k Combine like terms: k + -6k = -5k -10 = -6 + -5k Solving -10 = -6 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -10 + 5k = -6 + -5k + 5k Combine like terms: -5k + 5k = 0 -10 + 5k = -6 + 0 -10 + 5k = -6 Add '10' to each side of the equation. -10 + 10 + 5k = -6 + 10 Combine like terms: -10 + 10 = 0 0 + 5k = -6 + 10 5k = -6 + 10 Combine like terms: -6 + 10 = 4 5k = 4 Divide each side by '5'. k = 0.8 Simplifying k = 0.8
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