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Simplifying 2(p + -4) = 7(p + 3) Reorder the terms: 2(-4 + p) = 7(p + 3) (-4 * 2 + p * 2) = 7(p + 3) (-8 + 2p) = 7(p + 3) Reorder the terms: -8 + 2p = 7(3 + p) -8 + 2p = (3 * 7 + p * 7) -8 + 2p = (21 + 7p) Solving -8 + 2p = 21 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -8 + 2p + -7p = 21 + 7p + -7p Combine like terms: 2p + -7p = -5p -8 + -5p = 21 + 7p + -7p Combine like terms: 7p + -7p = 0 -8 + -5p = 21 + 0 -8 + -5p = 21 Add '8' to each side of the equation. -8 + 8 + -5p = 21 + 8 Combine like terms: -8 + 8 = 0 0 + -5p = 21 + 8 -5p = 21 + 8 Combine like terms: 21 + 8 = 29 -5p = 29 Divide each side by '-5'. p = -5.8 Simplifying p = -5.8
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