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Simplifying 4p + -2(1 + 5p) = -5(1 + p) 4p + (1 * -2 + 5p * -2) = -5(1 + p) 4p + (-2 + -10p) = -5(1 + p) Reorder the terms: -2 + 4p + -10p = -5(1 + p) Combine like terms: 4p + -10p = -6p -2 + -6p = -5(1 + p) -2 + -6p = (1 * -5 + p * -5) -2 + -6p = (-5 + -5p) Solving -2 + -6p = -5 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. -2 + -6p + 5p = -5 + -5p + 5p Combine like terms: -6p + 5p = -1p -2 + -1p = -5 + -5p + 5p Combine like terms: -5p + 5p = 0 -2 + -1p = -5 + 0 -2 + -1p = -5 Add '2' to each side of the equation. -2 + 2 + -1p = -5 + 2 Combine like terms: -2 + 2 = 0 0 + -1p = -5 + 2 -1p = -5 + 2 Combine like terms: -5 + 2 = -3 -1p = -3 Divide each side by '-1'. p = 3 Simplifying p = 3
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