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Simplifying 8 * 4 = (p * 7) + -1(p * 3) Multiply 8 * 4 32 = (p * 7) + -1(p * 3) Reorder the terms for easier multiplication: 32 = (7p) + -1(p * 3) Reorder the terms for easier multiplication: 32 = (7p) + -1(3p) Remove parenthesis around (3p) 32 = (7p) + -1 * 3p Multiply -1 * 3 32 = (7p) + -3p Combine like terms: (7p) + -3p = 4p 32 = 4p Solving 32 = 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. 32 + -4p = 4p + -4p Combine like terms: 4p + -4p = 0 32 + -4p = 0 Add '-32' to each side of the equation. 32 + -32 + -4p = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -4p = 0 + -32 -4p = 0 + -32 Combine like terms: 0 + -32 = -32 -4p = -32 Divide each side by '-4'. p = 8 Simplifying p = 8
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