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Simplifying 5p + -4 = 4(-4p + -9) + -5(-6 + -4p) Reorder the terms: -4 + 5p = 4(-4p + -9) + -5(-6 + -4p) Reorder the terms: -4 + 5p = 4(-9 + -4p) + -5(-6 + -4p) -4 + 5p = (-9 * 4 + -4p * 4) + -5(-6 + -4p) -4 + 5p = (-36 + -16p) + -5(-6 + -4p) -4 + 5p = -36 + -16p + (-6 * -5 + -4p * -5) -4 + 5p = -36 + -16p + (30 + 20p) Reorder the terms: -4 + 5p = -36 + 30 + -16p + 20p Combine like terms: -36 + 30 = -6 -4 + 5p = -6 + -16p + 20p Combine like terms: -16p + 20p = 4p -4 + 5p = -6 + 4p Solving -4 + 5p = -6 + 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. -4 + 5p + -4p = -6 + 4p + -4p Combine like terms: 5p + -4p = 1p -4 + 1p = -6 + 4p + -4p Combine like terms: 4p + -4p = 0 -4 + 1p = -6 + 0 -4 + 1p = -6 Add '4' to each side of the equation. -4 + 4 + 1p = -6 + 4 Combine like terms: -4 + 4 = 0 0 + 1p = -6 + 4 1p = -6 + 4 Combine like terms: -6 + 4 = -2 1p = -2 Divide each side by '1'. p = -2 Simplifying p = -2
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