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Simplifying -5(1 + 2p) = -2 + 7p + -3p + 1 (1 * -5 + 2p * -5) = -2 + 7p + -3p + 1 (-5 + -10p) = -2 + 7p + -3p + 1 Reorder the terms: -5 + -10p = -2 + 1 + 7p + -3p Combine like terms: -2 + 1 = -1 -5 + -10p = -1 + 7p + -3p Combine like terms: 7p + -3p = 4p -5 + -10p = -1 + 4p Solving -5 + -10p = -1 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -5 + -10p + -4p = -1 + 4p + -4p Combine like terms: -10p + -4p = -14p -5 + -14p = -1 + 4p + -4p Combine like terms: 4p + -4p = 0 -5 + -14p = -1 + 0 -5 + -14p = -1 Add '5' to each side of the equation. -5 + 5 + -14p = -1 + 5 Combine like terms: -5 + 5 = 0 0 + -14p = -1 + 5 -14p = -1 + 5 Combine like terms: -1 + 5 = 4 -14p = 4 Divide each side by '-14'. p = -0.2857142857 Simplifying p = -0.2857142857
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