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Simplifying p + 4p + -33 = 2(2p + -10) Reorder the terms: -33 + p + 4p = 2(2p + -10) Combine like terms: p + 4p = 5p -33 + 5p = 2(2p + -10) Reorder the terms: -33 + 5p = 2(-10 + 2p) -33 + 5p = (-10 * 2 + 2p * 2) -33 + 5p = (-20 + 4p) Solving -33 + 5p = -20 + 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. -33 + 5p + -4p = -20 + 4p + -4p Combine like terms: 5p + -4p = 1p -33 + 1p = -20 + 4p + -4p Combine like terms: 4p + -4p = 0 -33 + 1p = -20 + 0 -33 + 1p = -20 Add '33' to each side of the equation. -33 + 33 + 1p = -20 + 33 Combine like terms: -33 + 33 = 0 0 + 1p = -20 + 33 1p = -20 + 33 Combine like terms: -20 + 33 = 13 1p = 13 Divide each side by '1'. p = 13 Simplifying p = 13
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