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Simplifying 6(4p + -6) = 4(5p + 3) Reorder the terms: 6(-6 + 4p) = 4(5p + 3) (-6 * 6 + 4p * 6) = 4(5p + 3) (-36 + 24p) = 4(5p + 3) Reorder the terms: -36 + 24p = 4(3 + 5p) -36 + 24p = (3 * 4 + 5p * 4) -36 + 24p = (12 + 20p) Solving -36 + 24p = 12 + 20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20p' to each side of the equation. -36 + 24p + -20p = 12 + 20p + -20p Combine like terms: 24p + -20p = 4p -36 + 4p = 12 + 20p + -20p Combine like terms: 20p + -20p = 0 -36 + 4p = 12 + 0 -36 + 4p = 12 Add '36' to each side of the equation. -36 + 36 + 4p = 12 + 36 Combine like terms: -36 + 36 = 0 0 + 4p = 12 + 36 4p = 12 + 36 Combine like terms: 12 + 36 = 48 4p = 48 Divide each side by '4'. p = 12 Simplifying p = 12
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