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Simplifying 4 + -8p = 7(p + 42) Reorder the terms: 4 + -8p = 7(42 + p) 4 + -8p = (42 * 7 + p * 7) 4 + -8p = (294 + 7p) Solving 4 + -8p = 294 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 4 + -8p + -7p = 294 + 7p + -7p Combine like terms: -8p + -7p = -15p 4 + -15p = 294 + 7p + -7p Combine like terms: 7p + -7p = 0 4 + -15p = 294 + 0 4 + -15p = 294 Add '-4' to each side of the equation. 4 + -4 + -15p = 294 + -4 Combine like terms: 4 + -4 = 0 0 + -15p = 294 + -4 -15p = 294 + -4 Combine like terms: 294 + -4 = 290 -15p = 290 Divide each side by '-15'. p = -19.33333333 Simplifying p = -19.33333333
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