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Simplifying -10p + 5 = 2(5p + 9) + 3(5 + -2p) Reorder the terms: 5 + -10p = 2(5p + 9) + 3(5 + -2p) Reorder the terms: 5 + -10p = 2(9 + 5p) + 3(5 + -2p) 5 + -10p = (9 * 2 + 5p * 2) + 3(5 + -2p) 5 + -10p = (18 + 10p) + 3(5 + -2p) 5 + -10p = 18 + 10p + (5 * 3 + -2p * 3) 5 + -10p = 18 + 10p + (15 + -6p) Reorder the terms: 5 + -10p = 18 + 15 + 10p + -6p Combine like terms: 18 + 15 = 33 5 + -10p = 33 + 10p + -6p Combine like terms: 10p + -6p = 4p 5 + -10p = 33 + 4p Solving 5 + -10p = 33 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 5 + -10p + -4p = 33 + 4p + -4p Combine like terms: -10p + -4p = -14p 5 + -14p = 33 + 4p + -4p Combine like terms: 4p + -4p = 0 5 + -14p = 33 + 0 5 + -14p = 33 Add '-5' to each side of the equation. 5 + -5 + -14p = 33 + -5 Combine like terms: 5 + -5 = 0 0 + -14p = 33 + -5 -14p = 33 + -5 Combine like terms: 33 + -5 = 28 -14p = 28 Divide each side by '-14'. p = -2 Simplifying p = -2
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