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Simplifying 6(1 + -3p) = -7p + -38 (1 * 6 + -3p * 6) = -7p + -38 (6 + -18p) = -7p + -38 Reorder the terms: 6 + -18p = -38 + -7p Solving 6 + -18p = -38 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. 6 + -18p + 7p = -38 + -7p + 7p Combine like terms: -18p + 7p = -11p 6 + -11p = -38 + -7p + 7p Combine like terms: -7p + 7p = 0 6 + -11p = -38 + 0 6 + -11p = -38 Add '-6' to each side of the equation. 6 + -6 + -11p = -38 + -6 Combine like terms: 6 + -6 = 0 0 + -11p = -38 + -6 -11p = -38 + -6 Combine like terms: -38 + -6 = -44 -11p = -44 Divide each side by '-11'. p = 4 Simplifying p = 4
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