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Simplifying -22p + -6(6 + -5p) = 4(p + -3) + -36 -22p + (6 * -6 + -5p * -6) = 4(p + -3) + -36 -22p + (-36 + 30p) = 4(p + -3) + -36 Reorder the terms: -36 + -22p + 30p = 4(p + -3) + -36 Combine like terms: -22p + 30p = 8p -36 + 8p = 4(p + -3) + -36 Reorder the terms: -36 + 8p = 4(-3 + p) + -36 -36 + 8p = (-3 * 4 + p * 4) + -36 -36 + 8p = (-12 + 4p) + -36 Reorder the terms: -36 + 8p = -12 + -36 + 4p Combine like terms: -12 + -36 = -48 -36 + 8p = -48 + 4p Solving -36 + 8p = -48 + 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. -36 + 8p + -4p = -48 + 4p + -4p Combine like terms: 8p + -4p = 4p -36 + 4p = -48 + 4p + -4p Combine like terms: 4p + -4p = 0 -36 + 4p = -48 + 0 -36 + 4p = -48 Add '36' to each side of the equation. -36 + 36 + 4p = -48 + 36 Combine like terms: -36 + 36 = 0 0 + 4p = -48 + 36 4p = -48 + 36 Combine like terms: -48 + 36 = -12 4p = -12 Divide each side by '4'. p = -3 Simplifying p = -3
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