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Simplifying 3p + 2k + -4 = 2(5p + 3k) Reorder the terms: -4 + 2k + 3p = 2(5p + 3k) Reorder the terms: -4 + 2k + 3p = 2(3k + 5p) -4 + 2k + 3p = (3k * 2 + 5p * 2) -4 + 2k + 3p = (6k + 10p) Solving -4 + 2k + 3p = 6k + 10p 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. -4 + 2k + -6k + 3p = 6k + -6k + 10p Combine like terms: 2k + -6k = -4k -4 + -4k + 3p = 6k + -6k + 10p Combine like terms: 6k + -6k = 0 -4 + -4k + 3p = 0 + 10p -4 + -4k + 3p = 10p Add '4' to each side of the equation. -4 + -4k + 4 + 3p = 4 + 10p Reorder the terms: -4 + 4 + -4k + 3p = 4 + 10p Combine like terms: -4 + 4 = 0 0 + -4k + 3p = 4 + 10p -4k + 3p = 4 + 10p Add '-3p' to each side of the equation. -4k + 3p + -3p = 4 + 10p + -3p Combine like terms: 3p + -3p = 0 -4k + 0 = 4 + 10p + -3p -4k = 4 + 10p + -3p Combine like terms: 10p + -3p = 7p -4k = 4 + 7p Divide each side by '-4'. k = -1 + -1.75p Simplifying k = -1 + -1.75p
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