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Simplifying -3(3p + 1) = -7(p + 5) Reorder the terms: -3(1 + 3p) = -7(p + 5) (1 * -3 + 3p * -3) = -7(p + 5) (-3 + -9p) = -7(p + 5) Reorder the terms: -3 + -9p = -7(5 + p) -3 + -9p = (5 * -7 + p * -7) -3 + -9p = (-35 + -7p) Solving -3 + -9p = -35 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. -3 + -9p + 7p = -35 + -7p + 7p Combine like terms: -9p + 7p = -2p -3 + -2p = -35 + -7p + 7p Combine like terms: -7p + 7p = 0 -3 + -2p = -35 + 0 -3 + -2p = -35 Add '3' to each side of the equation. -3 + 3 + -2p = -35 + 3 Combine like terms: -3 + 3 = 0 0 + -2p = -35 + 3 -2p = -35 + 3 Combine like terms: -35 + 3 = -32 -2p = -32 Divide each side by '-2'. p = 16 Simplifying p = 16
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