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Simplifying 6(4 + 1) = 2k + 7 Combine like terms: 4 + 1 = 5 6(5) = 2k + 7 Multiply 6 * 5 30 = 2k + 7 Reorder the terms: 30 = 7 + 2k Solving 30 = 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. 30 + -2k = 7 + 2k + -2k Combine like terms: 2k + -2k = 0 30 + -2k = 7 + 0 30 + -2k = 7 Add '-30' to each side of the equation. 30 + -30 + -2k = 7 + -30 Combine like terms: 30 + -30 = 0 0 + -2k = 7 + -30 -2k = 7 + -30 Combine like terms: 7 + -30 = -23 -2k = -23 Divide each side by '-2'. k = 11.5 Simplifying k = 11.5
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