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Simplifying 5(2p + 7) = -7(-3 * 4p) + 5p Reorder the terms: 5(7 + 2p) = -7(-3 * 4p) + 5p (7 * 5 + 2p * 5) = -7(-3 * 4p) + 5p (35 + 10p) = -7(-3 * 4p) + 5p Multiply -3 * 4 35 + 10p = -7(-12p) + 5p Remove parenthesis around (-12p) 35 + 10p = -7 * -12p + 5p Multiply -7 * -12 35 + 10p = 84p + 5p Combine like terms: 84p + 5p = 89p 35 + 10p = 89p Solving 35 + 10p = 89p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-89p' to each side of the equation. 35 + 10p + -89p = 89p + -89p Combine like terms: 10p + -89p = -79p 35 + -79p = 89p + -89p Combine like terms: 89p + -89p = 0 35 + -79p = 0 Add '-35' to each side of the equation. 35 + -35 + -79p = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -79p = 0 + -35 -79p = 0 + -35 Combine like terms: 0 + -35 = -35 -79p = -35 Divide each side by '-79'. p = 0.4430379747 Simplifying p = 0.4430379747
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