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Simplifying 7(2p + 1) + -4(3p) = 0 Reorder the terms: 7(1 + 2p) + -4(3p) = 0 (1 * 7 + 2p * 7) + -4(3p) = 0 (7 + 14p) + -4(3p) = 0 Remove parenthesis around (3p) 7 + 14p + -4 * 3p = 0 Multiply -4 * 3 7 + 14p + -12p = 0 Combine like terms: 14p + -12p = 2p 7 + 2p = 0 Solving 7 + 2p = 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 + 2p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2p = 0 + -7 2p = 0 + -7 Combine like terms: 0 + -7 = -7 2p = -7 Divide each side by '2'. p = -3.5 Simplifying p = -3.5
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