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Simplifying 4(2p + -6) = 7 + -1(p + -3) Reorder the terms: 4(-6 + 2p) = 7 + -1(p + -3) (-6 * 4 + 2p * 4) = 7 + -1(p + -3) (-24 + 8p) = 7 + -1(p + -3) Reorder the terms: -24 + 8p = 7 + -1(-3 + p) -24 + 8p = 7 + (-3 * -1 + p * -1) -24 + 8p = 7 + (3 + -1p) Combine like terms: 7 + 3 = 10 -24 + 8p = 10 + -1p Solving -24 + 8p = 10 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. -24 + 8p + p = 10 + -1p + p Combine like terms: 8p + p = 9p -24 + 9p = 10 + -1p + p Combine like terms: -1p + p = 0 -24 + 9p = 10 + 0 -24 + 9p = 10 Add '24' to each side of the equation. -24 + 24 + 9p = 10 + 24 Combine like terms: -24 + 24 = 0 0 + 9p = 10 + 24 9p = 10 + 24 Combine like terms: 10 + 24 = 34 9p = 34 Divide each side by '9'. p = 3.777777778 Simplifying p = 3.777777778
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