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Simplifying 5(-5k + -6) + -6k = 2k + 3 Reorder the terms: 5(-6 + -5k) + -6k = 2k + 3 (-6 * 5 + -5k * 5) + -6k = 2k + 3 (-30 + -25k) + -6k = 2k + 3 Combine like terms: -25k + -6k = -31k -30 + -31k = 2k + 3 Reorder the terms: -30 + -31k = 3 + 2k Solving -30 + -31k = 3 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -30 + -31k + -2k = 3 + 2k + -2k Combine like terms: -31k + -2k = -33k -30 + -33k = 3 + 2k + -2k Combine like terms: 2k + -2k = 0 -30 + -33k = 3 + 0 -30 + -33k = 3 Add '30' to each side of the equation. -30 + 30 + -33k = 3 + 30 Combine like terms: -30 + 30 = 0 0 + -33k = 3 + 30 -33k = 3 + 30 Combine like terms: 3 + 30 = 33 -33k = 33 Divide each side by '-33'. k = -1 Simplifying k = -1
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