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Simplifying -2(1 + 2p) = 3p + 33 (1 * -2 + 2p * -2) = 3p + 33 (-2 + -4p) = 3p + 33 Reorder the terms: -2 + -4p = 33 + 3p Solving -2 + -4p = 33 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -2 + -4p + -3p = 33 + 3p + -3p Combine like terms: -4p + -3p = -7p -2 + -7p = 33 + 3p + -3p Combine like terms: 3p + -3p = 0 -2 + -7p = 33 + 0 -2 + -7p = 33 Add '2' to each side of the equation. -2 + 2 + -7p = 33 + 2 Combine like terms: -2 + 2 = 0 0 + -7p = 33 + 2 -7p = 33 + 2 Combine like terms: 33 + 2 = 35 -7p = 35 Divide each side by '-7'. p = -5 Simplifying p = -5
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