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Simplifying 6p + -4 = (p + -8) + 3(-2 + p) Reorder the terms: -4 + 6p = (p + -8) + 3(-2 + p) Reorder the terms: -4 + 6p = (-8 + p) + 3(-2 + p) Remove parenthesis around (-8 + p) -4 + 6p = -8 + p + 3(-2 + p) -4 + 6p = -8 + p + (-2 * 3 + p * 3) -4 + 6p = -8 + p + (-6 + 3p) Reorder the terms: -4 + 6p = -8 + -6 + p + 3p Combine like terms: -8 + -6 = -14 -4 + 6p = -14 + p + 3p Combine like terms: p + 3p = 4p -4 + 6p = -14 + 4p Solving -4 + 6p = -14 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -4 + 6p + -4p = -14 + 4p + -4p Combine like terms: 6p + -4p = 2p -4 + 2p = -14 + 4p + -4p Combine like terms: 4p + -4p = 0 -4 + 2p = -14 + 0 -4 + 2p = -14 Add '4' to each side of the equation. -4 + 4 + 2p = -14 + 4 Combine like terms: -4 + 4 = 0 0 + 2p = -14 + 4 2p = -14 + 4 Combine like terms: -14 + 4 = -10 2p = -10 Divide each side by '2'. p = -5 Simplifying p = -5
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