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Simplifying -11p + -4(4 + -5p) = 6(p + -2) + -13 -11p + (4 * -4 + -5p * -4) = 6(p + -2) + -13 -11p + (-16 + 20p) = 6(p + -2) + -13 Reorder the terms: -16 + -11p + 20p = 6(p + -2) + -13 Combine like terms: -11p + 20p = 9p -16 + 9p = 6(p + -2) + -13 Reorder the terms: -16 + 9p = 6(-2 + p) + -13 -16 + 9p = (-2 * 6 + p * 6) + -13 -16 + 9p = (-12 + 6p) + -13 Reorder the terms: -16 + 9p = -12 + -13 + 6p Combine like terms: -12 + -13 = -25 -16 + 9p = -25 + 6p Solving -16 + 9p = -25 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -16 + 9p + -6p = -25 + 6p + -6p Combine like terms: 9p + -6p = 3p -16 + 3p = -25 + 6p + -6p Combine like terms: 6p + -6p = 0 -16 + 3p = -25 + 0 -16 + 3p = -25 Add '16' to each side of the equation. -16 + 16 + 3p = -25 + 16 Combine like terms: -16 + 16 = 0 0 + 3p = -25 + 16 3p = -25 + 16 Combine like terms: -25 + 16 = -9 3p = -9 Divide each side by '3'. p = -3 Simplifying p = -3
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