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Simplifying 3(2k + -5) = 2k + 3 Reorder the terms: 3(-5 + 2k) = 2k + 3 (-5 * 3 + 2k * 3) = 2k + 3 (-15 + 6k) = 2k + 3 Reorder the terms: -15 + 6k = 3 + 2k Solving -15 + 6k = 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. -15 + 6k + -2k = 3 + 2k + -2k Combine like terms: 6k + -2k = 4k -15 + 4k = 3 + 2k + -2k Combine like terms: 2k + -2k = 0 -15 + 4k = 3 + 0 -15 + 4k = 3 Add '15' to each side of the equation. -15 + 15 + 4k = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 4k = 3 + 15 4k = 3 + 15 Combine like terms: 3 + 15 = 18 4k = 18 Divide each side by '4'. k = 4.5 Simplifying k = 4.5
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