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Simplifying (2p + 1) + -4(3p + 2) = 0 Reorder the terms: (1 + 2p) + -4(3p + 2) = 0 Remove parenthesis around (1 + 2p) 1 + 2p + -4(3p + 2) = 0 Reorder the terms: 1 + 2p + -4(2 + 3p) = 0 1 + 2p + (2 * -4 + 3p * -4) = 0 1 + 2p + (-8 + -12p) = 0 Reorder the terms: 1 + -8 + 2p + -12p = 0 Combine like terms: 1 + -8 = -7 -7 + 2p + -12p = 0 Combine like terms: 2p + -12p = -10p -7 + -10p = 0 Solving -7 + -10p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -10p = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -10p = 0 + 7 -10p = 0 + 7 Combine like terms: 0 + 7 = 7 -10p = 7 Divide each side by '-10'. p = -0.7 Simplifying p = -0.7
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