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Simplifying -28p + -6(5 + -6) = 5(p + -6) + -15 Combine like terms: 5 + -6 = -1 -28p + -6(-1) = 5(p + -6) + -15 Multiply -6 * -1 -28p + 6 = 5(p + -6) + -15 Reorder the terms: 6 + -28p = 5(p + -6) + -15 Reorder the terms: 6 + -28p = 5(-6 + p) + -15 6 + -28p = (-6 * 5 + p * 5) + -15 6 + -28p = (-30 + 5p) + -15 Reorder the terms: 6 + -28p = -30 + -15 + 5p Combine like terms: -30 + -15 = -45 6 + -28p = -45 + 5p Solving 6 + -28p = -45 + 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. 6 + -28p + -5p = -45 + 5p + -5p Combine like terms: -28p + -5p = -33p 6 + -33p = -45 + 5p + -5p Combine like terms: 5p + -5p = 0 6 + -33p = -45 + 0 6 + -33p = -45 Add '-6' to each side of the equation. 6 + -6 + -33p = -45 + -6 Combine like terms: 6 + -6 = 0 0 + -33p = -45 + -6 -33p = -45 + -6 Combine like terms: -45 + -6 = -51 -33p = -51 Divide each side by '-33'. p = 1.545454545 Simplifying p = 1.545454545
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