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Simplifying 4p + -7 = -4(5p + 5) + 5 Reorder the terms: -7 + 4p = -4(5p + 5) + 5 Reorder the terms: -7 + 4p = -4(5 + 5p) + 5 -7 + 4p = (5 * -4 + 5p * -4) + 5 -7 + 4p = (-20 + -20p) + 5 Reorder the terms: -7 + 4p = -20 + 5 + -20p Combine like terms: -20 + 5 = -15 -7 + 4p = -15 + -20p Solving -7 + 4p = -15 + -20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '20p' to each side of the equation. -7 + 4p + 20p = -15 + -20p + 20p Combine like terms: 4p + 20p = 24p -7 + 24p = -15 + -20p + 20p Combine like terms: -20p + 20p = 0 -7 + 24p = -15 + 0 -7 + 24p = -15 Add '7' to each side of the equation. -7 + 7 + 24p = -15 + 7 Combine like terms: -7 + 7 = 0 0 + 24p = -15 + 7 24p = -15 + 7 Combine like terms: -15 + 7 = -8 24p = -8 Divide each side by '24'. p = -0.3333333333 Simplifying p = -0.3333333333
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