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Simplifying -3(4p + 2) = 4(2p + -2) Reorder the terms: -3(2 + 4p) = 4(2p + -2) (2 * -3 + 4p * -3) = 4(2p + -2) (-6 + -12p) = 4(2p + -2) Reorder the terms: -6 + -12p = 4(-2 + 2p) -6 + -12p = (-2 * 4 + 2p * 4) -6 + -12p = (-8 + 8p) Solving -6 + -12p = -8 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -6 + -12p + -8p = -8 + 8p + -8p Combine like terms: -12p + -8p = -20p -6 + -20p = -8 + 8p + -8p Combine like terms: 8p + -8p = 0 -6 + -20p = -8 + 0 -6 + -20p = -8 Add '6' to each side of the equation. -6 + 6 + -20p = -8 + 6 Combine like terms: -6 + 6 = 0 0 + -20p = -8 + 6 -20p = -8 + 6 Combine like terms: -8 + 6 = -2 -20p = -2 Divide each side by '-20'. p = 0.1 Simplifying p = 0.1
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