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Simplifying -7(5p + 4) + -42 = 3(2p + 4) Reorder the terms: -7(4 + 5p) + -42 = 3(2p + 4) (4 * -7 + 5p * -7) + -42 = 3(2p + 4) (-28 + -35p) + -42 = 3(2p + 4) Reorder the terms: -28 + -42 + -35p = 3(2p + 4) Combine like terms: -28 + -42 = -70 -70 + -35p = 3(2p + 4) Reorder the terms: -70 + -35p = 3(4 + 2p) -70 + -35p = (4 * 3 + 2p * 3) -70 + -35p = (12 + 6p) Solving -70 + -35p = 12 + 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. -70 + -35p + -6p = 12 + 6p + -6p Combine like terms: -35p + -6p = -41p -70 + -41p = 12 + 6p + -6p Combine like terms: 6p + -6p = 0 -70 + -41p = 12 + 0 -70 + -41p = 12 Add '70' to each side of the equation. -70 + 70 + -41p = 12 + 70 Combine like terms: -70 + 70 = 0 0 + -41p = 12 + 70 -41p = 12 + 70 Combine like terms: 12 + 70 = 82 -41p = 82 Divide each side by '-41'. p = -2 Simplifying p = -2
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