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Simplifying 8(1 + -6p) + 3p = 3p + -40 (1 * 8 + -6p * 8) + 3p = 3p + -40 (8 + -48p) + 3p = 3p + -40 Combine like terms: -48p + 3p = -45p 8 + -45p = 3p + -40 Reorder the terms: 8 + -45p = -40 + 3p Solving 8 + -45p = -40 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 8 + -45p + -3p = -40 + 3p + -3p Combine like terms: -45p + -3p = -48p 8 + -48p = -40 + 3p + -3p Combine like terms: 3p + -3p = 0 8 + -48p = -40 + 0 8 + -48p = -40 Add '-8' to each side of the equation. 8 + -8 + -48p = -40 + -8 Combine like terms: 8 + -8 = 0 0 + -48p = -40 + -8 -48p = -40 + -8 Combine like terms: -40 + -8 = -48 -48p = -48 Divide each side by '-48'. p = 1 Simplifying p = 1
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