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Simplifying -1p + 37 = 4(p + 3) Reorder the terms: 37 + -1p = 4(p + 3) Reorder the terms: 37 + -1p = 4(3 + p) 37 + -1p = (3 * 4 + p * 4) 37 + -1p = (12 + 4p) Solving 37 + -1p = 12 + 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. 37 + -1p + -4p = 12 + 4p + -4p Combine like terms: -1p + -4p = -5p 37 + -5p = 12 + 4p + -4p Combine like terms: 4p + -4p = 0 37 + -5p = 12 + 0 37 + -5p = 12 Add '-37' to each side of the equation. 37 + -37 + -5p = 12 + -37 Combine like terms: 37 + -37 = 0 0 + -5p = 12 + -37 -5p = 12 + -37 Combine like terms: 12 + -37 = -25 -5p = -25 Divide each side by '-5'. p = 5 Simplifying p = 5
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