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