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Simplifying -7(3p + 2) + -28 = 5(4p + 8) Reorder the terms: -7(2 + 3p) + -28 = 5(4p + 8) (2 * -7 + 3p * -7) + -28 = 5(4p + 8) (-14 + -21p) + -28 = 5(4p + 8) Reorder the terms: -14 + -28 + -21p = 5(4p + 8) Combine like terms: -14 + -28 = -42 -42 + -21p = 5(4p + 8) Reorder the terms: -42 + -21p = 5(8 + 4p) -42 + -21p = (8 * 5 + 4p * 5) -42 + -21p = (40 + 20p) Solving -42 + -21p = 40 + 20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20p' to each side of the equation. -42 + -21p + -20p = 40 + 20p + -20p Combine like terms: -21p + -20p = -41p -42 + -41p = 40 + 20p + -20p Combine like terms: 20p + -20p = 0 -42 + -41p = 40 + 0 -42 + -41p = 40 Add '42' to each side of the equation. -42 + 42 + -41p = 40 + 42 Combine like terms: -42 + 42 = 0 0 + -41p = 40 + 42 -41p = 40 + 42 Combine like terms: 40 + 42 = 82 -41p = 82 Divide each side by '-41'. p = -2 Simplifying p = -2
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