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Simplifying 5(7p + -3) = 28(p + -1) Reorder the terms: 5(-3 + 7p) = 28(p + -1) (-3 * 5 + 7p * 5) = 28(p + -1) (-15 + 35p) = 28(p + -1) Reorder the terms: -15 + 35p = 28(-1 + p) -15 + 35p = (-1 * 28 + p * 28) -15 + 35p = (-28 + 28p) Solving -15 + 35p = -28 + 28p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-28p' to each side of the equation. -15 + 35p + -28p = -28 + 28p + -28p Combine like terms: 35p + -28p = 7p -15 + 7p = -28 + 28p + -28p Combine like terms: 28p + -28p = 0 -15 + 7p = -28 + 0 -15 + 7p = -28 Add '15' to each side of the equation. -15 + 15 + 7p = -28 + 15 Combine like terms: -15 + 15 = 0 0 + 7p = -28 + 15 7p = -28 + 15 Combine like terms: -28 + 15 = -13 7p = -13 Divide each side by '7'. p = -1.857142857 Simplifying p = -1.857142857
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