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Simplifying -7(4p + 7) + -7(2p + -5) = p + 4 + 3 Reorder the terms: -7(7 + 4p) + -7(2p + -5) = p + 4 + 3 (7 * -7 + 4p * -7) + -7(2p + -5) = p + 4 + 3 (-49 + -28p) + -7(2p + -5) = p + 4 + 3 Reorder the terms: -49 + -28p + -7(-5 + 2p) = p + 4 + 3 -49 + -28p + (-5 * -7 + 2p * -7) = p + 4 + 3 -49 + -28p + (35 + -14p) = p + 4 + 3 Reorder the terms: -49 + 35 + -28p + -14p = p + 4 + 3 Combine like terms: -49 + 35 = -14 -14 + -28p + -14p = p + 4 + 3 Combine like terms: -28p + -14p = -42p -14 + -42p = p + 4 + 3 Reorder the terms: -14 + -42p = 4 + 3 + p Combine like terms: 4 + 3 = 7 -14 + -42p = 7 + p Solving -14 + -42p = 7 + 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. -14 + -42p + -1p = 7 + p + -1p Combine like terms: -42p + -1p = -43p -14 + -43p = 7 + p + -1p Combine like terms: p + -1p = 0 -14 + -43p = 7 + 0 -14 + -43p = 7 Add '14' to each side of the equation. -14 + 14 + -43p = 7 + 14 Combine like terms: -14 + 14 = 0 0 + -43p = 7 + 14 -43p = 7 + 14 Combine like terms: 7 + 14 = 21 -43p = 21 Divide each side by '-43'. p = -0.488372093 Simplifying p = -0.488372093
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