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Simplifying -7(5p + 4) + -42 = 5(4p + 8) Reorder the terms: -7(4 + 5p) + -42 = 5(4p + 8) (4 * -7 + 5p * -7) + -42 = 5(4p + 8) (-28 + -35p) + -42 = 5(4p + 8) Reorder the terms: -28 + -42 + -35p = 5(4p + 8) Combine like terms: -28 + -42 = -70 -70 + -35p = 5(4p + 8) Reorder the terms: -70 + -35p = 5(8 + 4p) -70 + -35p = (8 * 5 + 4p * 5) -70 + -35p = (40 + 20p) Solving -70 + -35p = 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. -70 + -35p + -20p = 40 + 20p + -20p Combine like terms: -35p + -20p = -55p -70 + -55p = 40 + 20p + -20p Combine like terms: 20p + -20p = 0 -70 + -55p = 40 + 0 -70 + -55p = 40 Add '70' to each side of the equation. -70 + 70 + -55p = 40 + 70 Combine like terms: -70 + 70 = 0 0 + -55p = 40 + 70 -55p = 40 + 70 Combine like terms: 40 + 70 = 110 -55p = 110 Divide each side by '-55'. p = -2 Simplifying p = -2
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