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Simplifying 5(p + -3) = 2(p + -7) Reorder the terms: 5(-3 + p) = 2(p + -7) (-3 * 5 + p * 5) = 2(p + -7) (-15 + 5p) = 2(p + -7) Reorder the terms: -15 + 5p = 2(-7 + p) -15 + 5p = (-7 * 2 + p * 2) -15 + 5p = (-14 + 2p) Solving -15 + 5p = -14 + 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. -15 + 5p + -2p = -14 + 2p + -2p Combine like terms: 5p + -2p = 3p -15 + 3p = -14 + 2p + -2p Combine like terms: 2p + -2p = 0 -15 + 3p = -14 + 0 -15 + 3p = -14 Add '15' to each side of the equation. -15 + 15 + 3p = -14 + 15 Combine like terms: -15 + 15 = 0 0 + 3p = -14 + 15 3p = -14 + 15 Combine like terms: -14 + 15 = 1 3p = 1 Divide each side by '3'. p = 0.3333333333 Simplifying p = 0.3333333333
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