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Simplifying -22p + -5(5 + -6p) = 3(p + -3) + -36 -22p + (5 * -5 + -6p * -5) = 3(p + -3) + -36 -22p + (-25 + 30p) = 3(p + -3) + -36 Reorder the terms: -25 + -22p + 30p = 3(p + -3) + -36 Combine like terms: -22p + 30p = 8p -25 + 8p = 3(p + -3) + -36 Reorder the terms: -25 + 8p = 3(-3 + p) + -36 -25 + 8p = (-3 * 3 + p * 3) + -36 -25 + 8p = (-9 + 3p) + -36 Reorder the terms: -25 + 8p = -9 + -36 + 3p Combine like terms: -9 + -36 = -45 -25 + 8p = -45 + 3p Solving -25 + 8p = -45 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -25 + 8p + -3p = -45 + 3p + -3p Combine like terms: 8p + -3p = 5p -25 + 5p = -45 + 3p + -3p Combine like terms: 3p + -3p = 0 -25 + 5p = -45 + 0 -25 + 5p = -45 Add '25' to each side of the equation. -25 + 25 + 5p = -45 + 25 Combine like terms: -25 + 25 = 0 0 + 5p = -45 + 25 5p = -45 + 25 Combine like terms: -45 + 25 = -20 5p = -20 Divide each side by '5'. p = -4 Simplifying p = -4
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