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Simplifying 4(p + 7) + 5 = 5p + 36 Reorder the terms: 4(7 + p) + 5 = 5p + 36 (7 * 4 + p * 4) + 5 = 5p + 36 (28 + 4p) + 5 = 5p + 36 Reorder the terms: 28 + 5 + 4p = 5p + 36 Combine like terms: 28 + 5 = 33 33 + 4p = 5p + 36 Reorder the terms: 33 + 4p = 36 + 5p Solving 33 + 4p = 36 + 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. 33 + 4p + -5p = 36 + 5p + -5p Combine like terms: 4p + -5p = -1p 33 + -1p = 36 + 5p + -5p Combine like terms: 5p + -5p = 0 33 + -1p = 36 + 0 33 + -1p = 36 Add '-33' to each side of the equation. 33 + -33 + -1p = 36 + -33 Combine like terms: 33 + -33 = 0 0 + -1p = 36 + -33 -1p = 36 + -33 Combine like terms: 36 + -33 = 3 -1p = 3 Divide each side by '-1'. p = -3 Simplifying p = -3
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