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Simplifying -3 + 2p = 7 + -8(7p + -6) Reorder the terms: -3 + 2p = 7 + -8(-6 + 7p) -3 + 2p = 7 + (-6 * -8 + 7p * -8) -3 + 2p = 7 + (48 + -56p) Combine like terms: 7 + 48 = 55 -3 + 2p = 55 + -56p Solving -3 + 2p = 55 + -56p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '56p' to each side of the equation. -3 + 2p + 56p = 55 + -56p + 56p Combine like terms: 2p + 56p = 58p -3 + 58p = 55 + -56p + 56p Combine like terms: -56p + 56p = 0 -3 + 58p = 55 + 0 -3 + 58p = 55 Add '3' to each side of the equation. -3 + 3 + 58p = 55 + 3 Combine like terms: -3 + 3 = 0 0 + 58p = 55 + 3 58p = 55 + 3 Combine like terms: 55 + 3 = 58 58p = 58 Divide each side by '58'. p = 1 Simplifying p = 1
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