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Simplifying 3(p + -4) = 2p + 7 Reorder the terms: 3(-4 + p) = 2p + 7 (-4 * 3 + p * 3) = 2p + 7 (-12 + 3p) = 2p + 7 Reorder the terms: -12 + 3p = 7 + 2p Solving -12 + 3p = 7 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -12 + 3p + -2p = 7 + 2p + -2p Combine like terms: 3p + -2p = 1p -12 + 1p = 7 + 2p + -2p Combine like terms: 2p + -2p = 0 -12 + 1p = 7 + 0 -12 + 1p = 7 Add '12' to each side of the equation. -12 + 12 + 1p = 7 + 12 Combine like terms: -12 + 12 = 0 0 + 1p = 7 + 12 1p = 7 + 12 Combine like terms: 7 + 12 = 19 1p = 19 Divide each side by '1'. p = 19 Simplifying p = 19
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