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Simplifying -6(1 + -5p) = 40 + 7p (1 * -6 + -5p * -6) = 40 + 7p (-6 + 30p) = 40 + 7p Solving -6 + 30p = 40 + 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 + 30p + -7p = 40 + 7p + -7p Combine like terms: 30p + -7p = 23p -6 + 23p = 40 + 7p + -7p Combine like terms: 7p + -7p = 0 -6 + 23p = 40 + 0 -6 + 23p = 40 Add '6' to each side of the equation. -6 + 6 + 23p = 40 + 6 Combine like terms: -6 + 6 = 0 0 + 23p = 40 + 6 23p = 40 + 6 Combine like terms: 40 + 6 = 46 23p = 46 Divide each side by '23'. p = 2 Simplifying p = 2
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