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Simplifying 5p + -9 = 3(p + -7) Reorder the terms: -9 + 5p = 3(p + -7) Reorder the terms: -9 + 5p = 3(-7 + p) -9 + 5p = (-7 * 3 + p * 3) -9 + 5p = (-21 + 3p) Solving -9 + 5p = -21 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -9 + 5p + -3p = -21 + 3p + -3p Combine like terms: 5p + -3p = 2p -9 + 2p = -21 + 3p + -3p Combine like terms: 3p + -3p = 0 -9 + 2p = -21 + 0 -9 + 2p = -21 Add '9' to each side of the equation. -9 + 9 + 2p = -21 + 9 Combine like terms: -9 + 9 = 0 0 + 2p = -21 + 9 2p = -21 + 9 Combine like terms: -21 + 9 = -12 2p = -12 Divide each side by '2'. p = -6 Simplifying p = -6
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