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Simplifying -1p + 27 = 2(-5 + 2p) + 7 Reorder the terms: 27 + -1p = 2(-5 + 2p) + 7 27 + -1p = (-5 * 2 + 2p * 2) + 7 27 + -1p = (-10 + 4p) + 7 Reorder the terms: 27 + -1p = -10 + 7 + 4p Combine like terms: -10 + 7 = -3 27 + -1p = -3 + 4p Solving 27 + -1p = -3 + 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. 27 + -1p + -4p = -3 + 4p + -4p Combine like terms: -1p + -4p = -5p 27 + -5p = -3 + 4p + -4p Combine like terms: 4p + -4p = 0 27 + -5p = -3 + 0 27 + -5p = -3 Add '-27' to each side of the equation. 27 + -27 + -5p = -3 + -27 Combine like terms: 27 + -27 = 0 0 + -5p = -3 + -27 -5p = -3 + -27 Combine like terms: -3 + -27 = -30 -5p = -30 Divide each side by '-5'. p = 6 Simplifying p = 6
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