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Simplifying 3(2k + -1) + -2(5 + -5k) = -10k Reorder the terms: 3(-1 + 2k) + -2(5 + -5k) = -10k (-1 * 3 + 2k * 3) + -2(5 + -5k) = -10k (-3 + 6k) + -2(5 + -5k) = -10k -3 + 6k + (5 * -2 + -5k * -2) = -10k -3 + 6k + (-10 + 10k) = -10k Reorder the terms: -3 + -10 + 6k + 10k = -10k Combine like terms: -3 + -10 = -13 -13 + 6k + 10k = -10k Combine like terms: 6k + 10k = 16k -13 + 16k = -10k Solving -13 + 16k = -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. -13 + 16k + 10k = -10k + 10k Combine like terms: 16k + 10k = 26k -13 + 26k = -10k + 10k Combine like terms: -10k + 10k = 0 -13 + 26k = 0 Add '13' to each side of the equation. -13 + 13 + 26k = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 26k = 0 + 13 26k = 0 + 13 Combine like terms: 0 + 13 = 13 26k = 13 Divide each side by '26'. k = 0.5 Simplifying k = 0.5
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