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Simplifying 4(p + 8q + -13) = 0 Reorder the terms: 4(-13 + p + 8q) = 0 (-13 * 4 + p * 4 + 8q * 4) = 0 (-52 + 4p + 32q) = 0 Solving -52 + 4p + 32q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 4p + 52 + 32q = 0 + 52 Reorder the terms: -52 + 52 + 4p + 32q = 0 + 52 Combine like terms: -52 + 52 = 0 0 + 4p + 32q = 0 + 52 4p + 32q = 0 + 52 Combine like terms: 0 + 52 = 52 4p + 32q = 52 Add '-32q' to each side of the equation. 4p + 32q + -32q = 52 + -32q Combine like terms: 32q + -32q = 0 4p + 0 = 52 + -32q 4p = 52 + -32q Divide each side by '4'. p = 13 + -8q Simplifying p = 13 + -8q
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