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Simplifying 4(-2 + -7p) + 5(p + -5) = -79 (-2 * 4 + -7p * 4) + 5(p + -5) = -79 (-8 + -28p) + 5(p + -5) = -79 Reorder the terms: -8 + -28p + 5(-5 + p) = -79 -8 + -28p + (-5 * 5 + p * 5) = -79 -8 + -28p + (-25 + 5p) = -79 Reorder the terms: -8 + -25 + -28p + 5p = -79 Combine like terms: -8 + -25 = -33 -33 + -28p + 5p = -79 Combine like terms: -28p + 5p = -23p -33 + -23p = -79 Solving -33 + -23p = -79 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + -23p = -79 + 33 Combine like terms: -33 + 33 = 0 0 + -23p = -79 + 33 -23p = -79 + 33 Combine like terms: -79 + 33 = -46 -23p = -46 Divide each side by '-23'. p = 2 Simplifying p = 2
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