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Simplifying -7(2p + 2) = 304(5p + 6) Reorder the terms: -7(2 + 2p) = 304(5p + 6) (2 * -7 + 2p * -7) = 304(5p + 6) (-14 + -14p) = 304(5p + 6) Reorder the terms: -14 + -14p = 304(6 + 5p) -14 + -14p = (6 * 304 + 5p * 304) -14 + -14p = (1824 + 1520p) Solving -14 + -14p = 1824 + 1520p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1520p' to each side of the equation. -14 + -14p + -1520p = 1824 + 1520p + -1520p Combine like terms: -14p + -1520p = -1534p -14 + -1534p = 1824 + 1520p + -1520p Combine like terms: 1520p + -1520p = 0 -14 + -1534p = 1824 + 0 -14 + -1534p = 1824 Add '14' to each side of the equation. -14 + 14 + -1534p = 1824 + 14 Combine like terms: -14 + 14 = 0 0 + -1534p = 1824 + 14 -1534p = 1824 + 14 Combine like terms: 1824 + 14 = 1838 -1534p = 1838 Divide each side by '-1534'. p = -1.198174707 Simplifying p = -1.198174707
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