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Simplifying 1 + 2(5k + -3) = 6k + 23 Reorder the terms: 1 + 2(-3 + 5k) = 6k + 23 1 + (-3 * 2 + 5k * 2) = 6k + 23 1 + (-6 + 10k) = 6k + 23 Combine like terms: 1 + -6 = -5 -5 + 10k = 6k + 23 Reorder the terms: -5 + 10k = 23 + 6k Solving -5 + 10k = 23 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -5 + 10k + -6k = 23 + 6k + -6k Combine like terms: 10k + -6k = 4k -5 + 4k = 23 + 6k + -6k Combine like terms: 6k + -6k = 0 -5 + 4k = 23 + 0 -5 + 4k = 23 Add '5' to each side of the equation. -5 + 5 + 4k = 23 + 5 Combine like terms: -5 + 5 = 0 0 + 4k = 23 + 5 4k = 23 + 5 Combine like terms: 23 + 5 = 28 4k = 28 Divide each side by '4'. k = 7 Simplifying k = 7
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