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Simplifying 4(7p + 3) = -8p + 8(5p + 5) Reorder the terms: 4(3 + 7p) = -8p + 8(5p + 5) (3 * 4 + 7p * 4) = -8p + 8(5p + 5) (12 + 28p) = -8p + 8(5p + 5) Reorder the terms: 12 + 28p = -8p + 8(5 + 5p) 12 + 28p = -8p + (5 * 8 + 5p * 8) 12 + 28p = -8p + (40 + 40p) Reorder the terms: 12 + 28p = 40 + -8p + 40p Combine like terms: -8p + 40p = 32p 12 + 28p = 40 + 32p Solving 12 + 28p = 40 + 32p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-32p' to each side of the equation. 12 + 28p + -32p = 40 + 32p + -32p Combine like terms: 28p + -32p = -4p 12 + -4p = 40 + 32p + -32p Combine like terms: 32p + -32p = 0 12 + -4p = 40 + 0 12 + -4p = 40 Add '-12' to each side of the equation. 12 + -12 + -4p = 40 + -12 Combine like terms: 12 + -12 = 0 0 + -4p = 40 + -12 -4p = 40 + -12 Combine like terms: 40 + -12 = 28 -4p = 28 Divide each side by '-4'. p = -7 Simplifying p = -7
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