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Simplifying 4(p + -8) = (p + 3) + 6 Reorder the terms: 4(-8 + p) = (p + 3) + 6 (-8 * 4 + p * 4) = (p + 3) + 6 (-32 + 4p) = (p + 3) + 6 Reorder the terms: -32 + 4p = (3 + p) + 6 Remove parenthesis around (3 + p) -32 + 4p = 3 + p + 6 Reorder the terms: -32 + 4p = 3 + 6 + p Combine like terms: 3 + 6 = 9 -32 + 4p = 9 + p Solving -32 + 4p = 9 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -32 + 4p + -1p = 9 + p + -1p Combine like terms: 4p + -1p = 3p -32 + 3p = 9 + p + -1p Combine like terms: p + -1p = 0 -32 + 3p = 9 + 0 -32 + 3p = 9 Add '32' to each side of the equation. -32 + 32 + 3p = 9 + 32 Combine like terms: -32 + 32 = 0 0 + 3p = 9 + 32 3p = 9 + 32 Combine like terms: 9 + 32 = 41 3p = 41 Divide each side by '3'. p = 13.66666667 Simplifying p = 13.66666667
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