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Simplifying 4(2p + -3) = 5p + 57 Reorder the terms: 4(-3 + 2p) = 5p + 57 (-3 * 4 + 2p * 4) = 5p + 57 (-12 + 8p) = 5p + 57 Reorder the terms: -12 + 8p = 57 + 5p Solving -12 + 8p = 57 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -12 + 8p + -5p = 57 + 5p + -5p Combine like terms: 8p + -5p = 3p -12 + 3p = 57 + 5p + -5p Combine like terms: 5p + -5p = 0 -12 + 3p = 57 + 0 -12 + 3p = 57 Add '12' to each side of the equation. -12 + 12 + 3p = 57 + 12 Combine like terms: -12 + 12 = 0 0 + 3p = 57 + 12 3p = 57 + 12 Combine like terms: 57 + 12 = 69 3p = 69 Divide each side by '3'. p = 23 Simplifying p = 23
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