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Simplifying 4k + 5(3) = 2k + 7 Multiply 5 * 3 4k + 15 = 2k + 7 Reorder the terms: 15 + 4k = 2k + 7 Reorder the terms: 15 + 4k = 7 + 2k Solving 15 + 4k = 7 + 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 + 4k + -2k = 7 + 2k + -2k Combine like terms: 4k + -2k = 2k 15 + 2k = 7 + 2k + -2k Combine like terms: 2k + -2k = 0 15 + 2k = 7 + 0 15 + 2k = 7 Add '-15' to each side of the equation. 15 + -15 + 2k = 7 + -15 Combine like terms: 15 + -15 = 0 0 + 2k = 7 + -15 2k = 7 + -15 Combine like terms: 7 + -15 = -8 2k = -8 Divide each side by '2'. k = -4 Simplifying k = -4
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