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Simplifying 13 + 4p = 7p + -2(p + -5) Reorder the terms: 13 + 4p = 7p + -2(-5 + p) 13 + 4p = 7p + (-5 * -2 + p * -2) 13 + 4p = 7p + (10 + -2p) Reorder the terms: 13 + 4p = 10 + 7p + -2p Combine like terms: 7p + -2p = 5p 13 + 4p = 10 + 5p Solving 13 + 4p = 10 + 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. 13 + 4p + -5p = 10 + 5p + -5p Combine like terms: 4p + -5p = -1p 13 + -1p = 10 + 5p + -5p Combine like terms: 5p + -5p = 0 13 + -1p = 10 + 0 13 + -1p = 10 Add '-13' to each side of the equation. 13 + -13 + -1p = 10 + -13 Combine like terms: 13 + -13 = 0 0 + -1p = 10 + -13 -1p = 10 + -13 Combine like terms: 10 + -13 = -3 -1p = -3 Divide each side by '-1'. p = 3 Simplifying p = 3
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