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Simplifying 5(x + -3) + 2k = 41 Reorder the terms: 5(-3 + x) + 2k = 41 (-3 * 5 + x * 5) + 2k = 41 (-15 + 5x) + 2k = 41 Reorder the terms: -15 + 2k + 5x = 41 Solving -15 + 2k + 5x = 41 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 2k + 15 + 5x = 41 + 15 Reorder the terms: -15 + 15 + 2k + 5x = 41 + 15 Combine like terms: -15 + 15 = 0 0 + 2k + 5x = 41 + 15 2k + 5x = 41 + 15 Combine like terms: 41 + 15 = 56 2k + 5x = 56 Add '-5x' to each side of the equation. 2k + 5x + -5x = 56 + -5x Combine like terms: 5x + -5x = 0 2k + 0 = 56 + -5x 2k = 56 + -5x Divide each side by '2'. k = 28 + -2.5x Simplifying k = 28 + -2.5x
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