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Simplifying -7(4p + 4) + -7(2p + -5) = p + 4 + 3 Reorder the terms: -7(4 + 4p) + -7(2p + -5) = p + 4 + 3 (4 * -7 + 4p * -7) + -7(2p + -5) = p + 4 + 3 (-28 + -28p) + -7(2p + -5) = p + 4 + 3 Reorder the terms: -28 + -28p + -7(-5 + 2p) = p + 4 + 3 -28 + -28p + (-5 * -7 + 2p * -7) = p + 4 + 3 -28 + -28p + (35 + -14p) = p + 4 + 3 Reorder the terms: -28 + 35 + -28p + -14p = p + 4 + 3 Combine like terms: -28 + 35 = 7 7 + -28p + -14p = p + 4 + 3 Combine like terms: -28p + -14p = -42p 7 + -42p = p + 4 + 3 Reorder the terms: 7 + -42p = 4 + 3 + p Combine like terms: 4 + 3 = 7 7 + -42p = 7 + p Add '-7' to each side of the equation. 7 + -7 + -42p = 7 + -7 + p Combine like terms: 7 + -7 = 0 0 + -42p = 7 + -7 + p -42p = 7 + -7 + p Combine like terms: 7 + -7 = 0 -42p = 0 + p -42p = p Solving -42p = p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -42p + -1p = p + -1p Combine like terms: -42p + -1p = -43p -43p = p + -1p Combine like terms: p + -1p = 0 -43p = 0 Divide each side by '-43'. p = 0 Simplifying p = 0
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