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Simplifying -8p + -3 = (2p + 7) + 6(9 + -7p) Reorder the terms: -3 + -8p = (2p + 7) + 6(9 + -7p) Reorder the terms: -3 + -8p = (7 + 2p) + 6(9 + -7p) Remove parenthesis around (7 + 2p) -3 + -8p = 7 + 2p + 6(9 + -7p) -3 + -8p = 7 + 2p + (9 * 6 + -7p * 6) -3 + -8p = 7 + 2p + (54 + -42p) Reorder the terms: -3 + -8p = 7 + 54 + 2p + -42p Combine like terms: 7 + 54 = 61 -3 + -8p = 61 + 2p + -42p Combine like terms: 2p + -42p = -40p -3 + -8p = 61 + -40p Solving -3 + -8p = 61 + -40p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '40p' to each side of the equation. -3 + -8p + 40p = 61 + -40p + 40p Combine like terms: -8p + 40p = 32p -3 + 32p = 61 + -40p + 40p Combine like terms: -40p + 40p = 0 -3 + 32p = 61 + 0 -3 + 32p = 61 Add '3' to each side of the equation. -3 + 3 + 32p = 61 + 3 Combine like terms: -3 + 3 = 0 0 + 32p = 61 + 3 32p = 61 + 3 Combine like terms: 61 + 3 = 64 32p = 64 Divide each side by '32'. p = 2 Simplifying p = 2
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