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