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Simplifying 1 * 2p + 7 = 3 * 4p + 9 Multiply 1 * 2 2p + 7 = 3 * 4p + 9 Reorder the terms: 7 + 2p = 3 * 4p + 9 Multiply 3 * 4 7 + 2p = 12p + 9 Reorder the terms: 7 + 2p = 9 + 12p Solving 7 + 2p = 9 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. 7 + 2p + -12p = 9 + 12p + -12p Combine like terms: 2p + -12p = -10p 7 + -10p = 9 + 12p + -12p Combine like terms: 12p + -12p = 0 7 + -10p = 9 + 0 7 + -10p = 9 Add '-7' to each side of the equation. 7 + -7 + -10p = 9 + -7 Combine like terms: 7 + -7 = 0 0 + -10p = 9 + -7 -10p = 9 + -7 Combine like terms: 9 + -7 = 2 -10p = 2 Divide each side by '-10'. p = -0.2 Simplifying p = -0.2
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