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Simplifying 5p + 4(3 + -2p) = 2 + p + -10 5p + (3 * 4 + -2p * 4) = 2 + p + -10 5p + (12 + -8p) = 2 + p + -10 Reorder the terms: 12 + 5p + -8p = 2 + p + -10 Combine like terms: 5p + -8p = -3p 12 + -3p = 2 + p + -10 Reorder the terms: 12 + -3p = 2 + -10 + p Combine like terms: 2 + -10 = -8 12 + -3p = -8 + p Solving 12 + -3p = -8 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 12 + -3p + -1p = -8 + p + -1p Combine like terms: -3p + -1p = -4p 12 + -4p = -8 + p + -1p Combine like terms: p + -1p = 0 12 + -4p = -8 + 0 12 + -4p = -8 Add '-12' to each side of the equation. 12 + -12 + -4p = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -4p = -8 + -12 -4p = -8 + -12 Combine like terms: -8 + -12 = -20 -4p = -20 Divide each side by '-4'. p = 5 Simplifying p = 5
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