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Simplifying 7(p + -4) = 5(p + -6) Reorder the terms: 7(-4 + p) = 5(p + -6) (-4 * 7 + p * 7) = 5(p + -6) (-28 + 7p) = 5(p + -6) Reorder the terms: -28 + 7p = 5(-6 + p) -28 + 7p = (-6 * 5 + p * 5) -28 + 7p = (-30 + 5p) Solving -28 + 7p = -30 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -28 + 7p + -5p = -30 + 5p + -5p Combine like terms: 7p + -5p = 2p -28 + 2p = -30 + 5p + -5p Combine like terms: 5p + -5p = 0 -28 + 2p = -30 + 0 -28 + 2p = -30 Add '28' to each side of the equation. -28 + 28 + 2p = -30 + 28 Combine like terms: -28 + 28 = 0 0 + 2p = -30 + 28 2p = -30 + 28 Combine like terms: -30 + 28 = -2 2p = -2 Divide each side by '2'. p = -1 Simplifying p = -1
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