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Simplifying 8 + -5(3 + p) = -6p + -2(2 + -1p) 8 + (3 * -5 + p * -5) = -6p + -2(2 + -1p) 8 + (-15 + -5p) = -6p + -2(2 + -1p) Combine like terms: 8 + -15 = -7 -7 + -5p = -6p + -2(2 + -1p) -7 + -5p = -6p + (2 * -2 + -1p * -2) -7 + -5p = -6p + (-4 + 2p) Reorder the terms: -7 + -5p = -4 + -6p + 2p Combine like terms: -6p + 2p = -4p -7 + -5p = -4 + -4p Solving -7 + -5p = -4 + -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. -7 + -5p + 4p = -4 + -4p + 4p Combine like terms: -5p + 4p = -1p -7 + -1p = -4 + -4p + 4p Combine like terms: -4p + 4p = 0 -7 + -1p = -4 + 0 -7 + -1p = -4 Add '7' to each side of the equation. -7 + 7 + -1p = -4 + 7 Combine like terms: -7 + 7 = 0 0 + -1p = -4 + 7 -1p = -4 + 7 Combine like terms: -4 + 7 = 3 -1p = 3 Divide each side by '-1'. p = -3 Simplifying p = -3
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