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Simplifying -66 = 3(5k + -5) + 3(-5 + k) Reorder the terms: -66 = 3(-5 + 5k) + 3(-5 + k) -66 = (-5 * 3 + 5k * 3) + 3(-5 + k) -66 = (-15 + 15k) + 3(-5 + k) -66 = -15 + 15k + (-5 * 3 + k * 3) -66 = -15 + 15k + (-15 + 3k) Reorder the terms: -66 = -15 + -15 + 15k + 3k Combine like terms: -15 + -15 = -30 -66 = -30 + 15k + 3k Combine like terms: 15k + 3k = 18k -66 = -30 + 18k Solving -66 = -30 + 18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18k' to each side of the equation. -66 + -18k = -30 + 18k + -18k Combine like terms: 18k + -18k = 0 -66 + -18k = -30 + 0 -66 + -18k = -30 Add '66' to each side of the equation. -66 + 66 + -18k = -30 + 66 Combine like terms: -66 + 66 = 0 0 + -18k = -30 + 66 -18k = -30 + 66 Combine like terms: -30 + 66 = 36 -18k = 36 Divide each side by '-18'. k = -2 Simplifying k = -2
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