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Simplifying 2(2p + 4) = 2(3p + -2) Reorder the terms: 2(4 + 2p) = 2(3p + -2) (4 * 2 + 2p * 2) = 2(3p + -2) (8 + 4p) = 2(3p + -2) Reorder the terms: 8 + 4p = 2(-2 + 3p) 8 + 4p = (-2 * 2 + 3p * 2) 8 + 4p = (-4 + 6p) Solving 8 + 4p = -4 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 8 + 4p + -6p = -4 + 6p + -6p Combine like terms: 4p + -6p = -2p 8 + -2p = -4 + 6p + -6p Combine like terms: 6p + -6p = 0 8 + -2p = -4 + 0 8 + -2p = -4 Add '-8' to each side of the equation. 8 + -8 + -2p = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -2p = -4 + -8 -2p = -4 + -8 Combine like terms: -4 + -8 = -12 -2p = -12 Divide each side by '-2'. p = 6 Simplifying p = 6
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