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Simplifying 5p + -4(p + 5) = (3p + -1) * 2 + 2 Reorder the terms: 5p + -4(5 + p) = (3p + -1) * 2 + 2 5p + (5 * -4 + p * -4) = (3p + -1) * 2 + 2 5p + (-20 + -4p) = (3p + -1) * 2 + 2 Reorder the terms: -20 + 5p + -4p = (3p + -1) * 2 + 2 Combine like terms: 5p + -4p = 1p -20 + 1p = (3p + -1) * 2 + 2 Reorder the terms: -20 + 1p = (-1 + 3p) * 2 + 2 Reorder the terms for easier multiplication: -20 + 1p = 2(-1 + 3p) + 2 -20 + 1p = (-1 * 2 + 3p * 2) + 2 -20 + 1p = (-2 + 6p) + 2 Reorder the terms: -20 + 1p = -2 + 2 + 6p Combine like terms: -2 + 2 = 0 -20 + 1p = 0 + 6p -20 + 1p = 6p Solving -20 + 1p = 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -20 + 1p + -6p = 6p + -6p Combine like terms: 1p + -6p = -5p -20 + -5p = 6p + -6p Combine like terms: 6p + -6p = 0 -20 + -5p = 0 Add '20' to each side of the equation. -20 + 20 + -5p = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -5p = 0 + 20 -5p = 0 + 20 Combine like terms: 0 + 20 = 20 -5p = 20 Divide each side by '-5'. p = -4 Simplifying p = -4
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