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Simplifying -7(5p + 3) + -49 = 3(4p + 8) Reorder the terms: -7(3 + 5p) + -49 = 3(4p + 8) (3 * -7 + 5p * -7) + -49 = 3(4p + 8) (-21 + -35p) + -49 = 3(4p + 8) Reorder the terms: -21 + -49 + -35p = 3(4p + 8) Combine like terms: -21 + -49 = -70 -70 + -35p = 3(4p + 8) Reorder the terms: -70 + -35p = 3(8 + 4p) -70 + -35p = (8 * 3 + 4p * 3) -70 + -35p = (24 + 12p) Solving -70 + -35p = 24 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -70 + -35p + -12p = 24 + 12p + -12p Combine like terms: -35p + -12p = -47p -70 + -47p = 24 + 12p + -12p Combine like terms: 12p + -12p = 0 -70 + -47p = 24 + 0 -70 + -47p = 24 Add '70' to each side of the equation. -70 + 70 + -47p = 24 + 70 Combine like terms: -70 + 70 = 0 0 + -47p = 24 + 70 -47p = 24 + 70 Combine like terms: 24 + 70 = 94 -47p = 94 Divide each side by '-47'. p = -2 Simplifying p = -2
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