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Simplifying -4(1 + -6p) = 7p + -38 (1 * -4 + -6p * -4) = 7p + -38 (-4 + 24p) = 7p + -38 Reorder the terms: -4 + 24p = -38 + 7p Solving -4 + 24p = -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. -4 + 24p + -7p = -38 + 7p + -7p Combine like terms: 24p + -7p = 17p -4 + 17p = -38 + 7p + -7p Combine like terms: 7p + -7p = 0 -4 + 17p = -38 + 0 -4 + 17p = -38 Add '4' to each side of the equation. -4 + 4 + 17p = -38 + 4 Combine like terms: -4 + 4 = 0 0 + 17p = -38 + 4 17p = -38 + 4 Combine like terms: -38 + 4 = -34 17p = -34 Divide each side by '17'. p = -2 Simplifying p = -2
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