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Simplifying 2(-4 + 2p) + 3p = -5 + 4p (-4 * 2 + 2p * 2) + 3p = -5 + 4p (-8 + 4p) + 3p = -5 + 4p Combine like terms: 4p + 3p = 7p -8 + 7p = -5 + 4p Solving -8 + 7p = -5 + 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. -8 + 7p + -4p = -5 + 4p + -4p Combine like terms: 7p + -4p = 3p -8 + 3p = -5 + 4p + -4p Combine like terms: 4p + -4p = 0 -8 + 3p = -5 + 0 -8 + 3p = -5 Add '8' to each side of the equation. -8 + 8 + 3p = -5 + 8 Combine like terms: -8 + 8 = 0 0 + 3p = -5 + 8 3p = -5 + 8 Combine like terms: -5 + 8 = 3 3p = 3 Divide each side by '3'. p = 1 Simplifying p = 1
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