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Simplifying 40 = -5(p + 6) Reorder the terms: 40 = -5(6 + p) 40 = (6 * -5 + p * -5) 40 = (-30 + -5p) Solving 40 = -30 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. 40 + 5p = -30 + -5p + 5p Combine like terms: -5p + 5p = 0 40 + 5p = -30 + 0 40 + 5p = -30 Add '-40' to each side of the equation. 40 + -40 + 5p = -30 + -40 Combine like terms: 40 + -40 = 0 0 + 5p = -30 + -40 5p = -30 + -40 Combine like terms: -30 + -40 = -70 5p = -70 Divide each side by '5'. p = -14 Simplifying p = -14
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