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Simplifying 5k + 3(-2 + -6k) = -4(k + -3) 5k + (-2 * 3 + -6k * 3) = -4(k + -3) 5k + (-6 + -18k) = -4(k + -3) Reorder the terms: -6 + 5k + -18k = -4(k + -3) Combine like terms: 5k + -18k = -13k -6 + -13k = -4(k + -3) Reorder the terms: -6 + -13k = -4(-3 + k) -6 + -13k = (-3 * -4 + k * -4) -6 + -13k = (12 + -4k) Solving -6 + -13k = 12 + -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. -6 + -13k + 4k = 12 + -4k + 4k Combine like terms: -13k + 4k = -9k -6 + -9k = 12 + -4k + 4k Combine like terms: -4k + 4k = 0 -6 + -9k = 12 + 0 -6 + -9k = 12 Add '6' to each side of the equation. -6 + 6 + -9k = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -9k = 12 + 6 -9k = 12 + 6 Combine like terms: 12 + 6 = 18 -9k = 18 Divide each side by '-9'. k = -2 Simplifying k = -2
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