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Simplifying 2p + 4(m + -6 + 2m) + -12m + 3p = 0 Reorder the terms: 2p + 4(-6 + m + 2m) + -12m + 3p = 0 Combine like terms: m + 2m = 3m 2p + 4(-6 + 3m) + -12m + 3p = 0 2p + (-6 * 4 + 3m * 4) + -12m + 3p = 0 2p + (-24 + 12m) + -12m + 3p = 0 Reorder the terms: -24 + 12m + -12m + 2p + 3p = 0 Combine like terms: 12m + -12m = 0 -24 + 0 + 2p + 3p = 0 -24 + 2p + 3p = 0 Combine like terms: 2p + 3p = 5p -24 + 5p = 0 Solving -24 + 5p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 5p = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 5p = 0 + 24 5p = 0 + 24 Combine like terms: 0 + 24 = 24 5p = 24 Divide each side by '5'. p = 4.8 Simplifying p = 4.8
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