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Simplifying 7p + -7 = 8p + -4(p + 7) Reorder the terms: -7 + 7p = 8p + -4(p + 7) Reorder the terms: -7 + 7p = 8p + -4(7 + p) -7 + 7p = 8p + (7 * -4 + p * -4) -7 + 7p = 8p + (-28 + -4p) Reorder the terms: -7 + 7p = -28 + 8p + -4p Combine like terms: 8p + -4p = 4p -7 + 7p = -28 + 4p Solving -7 + 7p = -28 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -7 + 7p + -4p = -28 + 4p + -4p Combine like terms: 7p + -4p = 3p -7 + 3p = -28 + 4p + -4p Combine like terms: 4p + -4p = 0 -7 + 3p = -28 + 0 -7 + 3p = -28 Add '7' to each side of the equation. -7 + 7 + 3p = -28 + 7 Combine like terms: -7 + 7 = 0 0 + 3p = -28 + 7 3p = -28 + 7 Combine like terms: -28 + 7 = -21 3p = -21 Divide each side by '3'. p = -7 Simplifying p = -7
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