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Simplifying 5(4 + -7p) = 1p + -48 (4 * 5 + -7p * 5) = 1p + -48 (20 + -35p) = 1p + -48 Reorder the terms: 20 + -35p = -48 + 1p Solving 20 + -35p = -48 + 1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 20 + -35p + -1p = -48 + 1p + -1p Combine like terms: -35p + -1p = -36p 20 + -36p = -48 + 1p + -1p Combine like terms: 1p + -1p = 0 20 + -36p = -48 + 0 20 + -36p = -48 Add '-20' to each side of the equation. 20 + -20 + -36p = -48 + -20 Combine like terms: 20 + -20 = 0 0 + -36p = -48 + -20 -36p = -48 + -20 Combine like terms: -48 + -20 = -68 -36p = -68 Divide each side by '-36'. p = 1.888888889 Simplifying p = 1.888888889
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