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Simplifying -2(4 + 5p) = -6p + 8 (4 * -2 + 5p * -2) = -6p + 8 (-8 + -10p) = -6p + 8 Reorder the terms: -8 + -10p = 8 + -6p Solving -8 + -10p = 8 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. -8 + -10p + 6p = 8 + -6p + 6p Combine like terms: -10p + 6p = -4p -8 + -4p = 8 + -6p + 6p Combine like terms: -6p + 6p = 0 -8 + -4p = 8 + 0 -8 + -4p = 8 Add '8' to each side of the equation. -8 + 8 + -4p = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -4p = 8 + 8 -4p = 8 + 8 Combine like terms: 8 + 8 = 16 -4p = 16 Divide each side by '-4'. p = -4 Simplifying p = -4
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