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Simplifying 6(4p + -3) + 7 = 2(3 + -1p) + 3 Reorder the terms: 6(-3 + 4p) + 7 = 2(3 + -1p) + 3 (-3 * 6 + 4p * 6) + 7 = 2(3 + -1p) + 3 (-18 + 24p) + 7 = 2(3 + -1p) + 3 Reorder the terms: -18 + 7 + 24p = 2(3 + -1p) + 3 Combine like terms: -18 + 7 = -11 -11 + 24p = 2(3 + -1p) + 3 -11 + 24p = (3 * 2 + -1p * 2) + 3 -11 + 24p = (6 + -2p) + 3 Reorder the terms: -11 + 24p = 6 + 3 + -2p Combine like terms: 6 + 3 = 9 -11 + 24p = 9 + -2p Solving -11 + 24p = 9 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -11 + 24p + 2p = 9 + -2p + 2p Combine like terms: 24p + 2p = 26p -11 + 26p = 9 + -2p + 2p Combine like terms: -2p + 2p = 0 -11 + 26p = 9 + 0 -11 + 26p = 9 Add '11' to each side of the equation. -11 + 11 + 26p = 9 + 11 Combine like terms: -11 + 11 = 0 0 + 26p = 9 + 11 26p = 9 + 11 Combine like terms: 9 + 11 = 20 26p = 20 Divide each side by '26'. p = 0.7692307692 Simplifying p = 0.7692307692
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