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Simplifying -7(5p + 2) + -44 = 3(2p + 8) Reorder the terms: -7(2 + 5p) + -44 = 3(2p + 8) (2 * -7 + 5p * -7) + -44 = 3(2p + 8) (-14 + -35p) + -44 = 3(2p + 8) Reorder the terms: -14 + -44 + -35p = 3(2p + 8) Combine like terms: -14 + -44 = -58 -58 + -35p = 3(2p + 8) Reorder the terms: -58 + -35p = 3(8 + 2p) -58 + -35p = (8 * 3 + 2p * 3) -58 + -35p = (24 + 6p) Solving -58 + -35p = 24 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -58 + -35p + -6p = 24 + 6p + -6p Combine like terms: -35p + -6p = -41p -58 + -41p = 24 + 6p + -6p Combine like terms: 6p + -6p = 0 -58 + -41p = 24 + 0 -58 + -41p = 24 Add '58' to each side of the equation. -58 + 58 + -41p = 24 + 58 Combine like terms: -58 + 58 = 0 0 + -41p = 24 + 58 -41p = 24 + 58 Combine like terms: 24 + 58 = 82 -41p = 82 Divide each side by '-41'. p = -2 Simplifying p = -2
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