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Simplifying 4(9p + -4) = -10(-11p + 9) Reorder the terms: 4(-4 + 9p) = -10(-11p + 9) (-4 * 4 + 9p * 4) = -10(-11p + 9) (-16 + 36p) = -10(-11p + 9) Reorder the terms: -16 + 36p = -10(9 + -11p) -16 + 36p = (9 * -10 + -11p * -10) -16 + 36p = (-90 + 110p) Solving -16 + 36p = -90 + 110p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-110p' to each side of the equation. -16 + 36p + -110p = -90 + 110p + -110p Combine like terms: 36p + -110p = -74p -16 + -74p = -90 + 110p + -110p Combine like terms: 110p + -110p = 0 -16 + -74p = -90 + 0 -16 + -74p = -90 Add '16' to each side of the equation. -16 + 16 + -74p = -90 + 16 Combine like terms: -16 + 16 = 0 0 + -74p = -90 + 16 -74p = -90 + 16 Combine like terms: -90 + 16 = -74 -74p = -74 Divide each side by '-74'. p = 1 Simplifying p = 1
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