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Simplifying (6p + -3) + -1(2p + 8) = 25 + 3p Reorder the terms: (-3 + 6p) + -1(2p + 8) = 25 + 3p Remove parenthesis around (-3 + 6p) -3 + 6p + -1(2p + 8) = 25 + 3p Reorder the terms: -3 + 6p + -1(8 + 2p) = 25 + 3p -3 + 6p + (8 * -1 + 2p * -1) = 25 + 3p -3 + 6p + (-8 + -2p) = 25 + 3p Reorder the terms: -3 + -8 + 6p + -2p = 25 + 3p Combine like terms: -3 + -8 = -11 -11 + 6p + -2p = 25 + 3p Combine like terms: 6p + -2p = 4p -11 + 4p = 25 + 3p Solving -11 + 4p = 25 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -11 + 4p + -3p = 25 + 3p + -3p Combine like terms: 4p + -3p = 1p -11 + 1p = 25 + 3p + -3p Combine like terms: 3p + -3p = 0 -11 + 1p = 25 + 0 -11 + 1p = 25 Add '11' to each side of the equation. -11 + 11 + 1p = 25 + 11 Combine like terms: -11 + 11 = 0 0 + 1p = 25 + 11 1p = 25 + 11 Combine like terms: 25 + 11 = 36 1p = 36 Divide each side by '1'. p = 36 Simplifying p = 36
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