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Simplifying 7 + 7p = -5(3p + 3) Reorder the terms: 7 + 7p = -5(3 + 3p) 7 + 7p = (3 * -5 + 3p * -5) 7 + 7p = (-15 + -15p) Solving 7 + 7p = -15 + -15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '15p' to each side of the equation. 7 + 7p + 15p = -15 + -15p + 15p Combine like terms: 7p + 15p = 22p 7 + 22p = -15 + -15p + 15p Combine like terms: -15p + 15p = 0 7 + 22p = -15 + 0 7 + 22p = -15 Add '-7' to each side of the equation. 7 + -7 + 22p = -15 + -7 Combine like terms: 7 + -7 = 0 0 + 22p = -15 + -7 22p = -15 + -7 Combine like terms: -15 + -7 = -22 22p = -22 Divide each side by '22'. p = -1 Simplifying p = -1
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