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Simplifying 5(p + -3) = 40 + -6p Reorder the terms: 5(-3 + p) = 40 + -6p (-3 * 5 + p * 5) = 40 + -6p (-15 + 5p) = 40 + -6p Solving -15 + 5p = 40 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. -15 + 5p + 6p = 40 + -6p + 6p Combine like terms: 5p + 6p = 11p -15 + 11p = 40 + -6p + 6p Combine like terms: -6p + 6p = 0 -15 + 11p = 40 + 0 -15 + 11p = 40 Add '15' to each side of the equation. -15 + 15 + 11p = 40 + 15 Combine like terms: -15 + 15 = 0 0 + 11p = 40 + 15 11p = 40 + 15 Combine like terms: 40 + 15 = 55 11p = 55 Divide each side by '11'. p = 5 Simplifying p = 5
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