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Simplifying -2p + 5(-7p + -20) = -20p + 19 Reorder the terms: -2p + 5(-20 + -7p) = -20p + 19 -2p + (-20 * 5 + -7p * 5) = -20p + 19 -2p + (-100 + -35p) = -20p + 19 Reorder the terms: -100 + -2p + -35p = -20p + 19 Combine like terms: -2p + -35p = -37p -100 + -37p = -20p + 19 Reorder the terms: -100 + -37p = 19 + -20p Solving -100 + -37p = 19 + -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. -100 + -37p + 20p = 19 + -20p + 20p Combine like terms: -37p + 20p = -17p -100 + -17p = 19 + -20p + 20p Combine like terms: -20p + 20p = 0 -100 + -17p = 19 + 0 -100 + -17p = 19 Add '100' to each side of the equation. -100 + 100 + -17p = 19 + 100 Combine like terms: -100 + 100 = 0 0 + -17p = 19 + 100 -17p = 19 + 100 Combine like terms: 19 + 100 = 119 -17p = 119 Divide each side by '-17'. p = -7 Simplifying p = -7
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