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Simplifying -5(1 + p) + -6(p + -2) = -4p + -6 + 3 + -6p (1 * -5 + p * -5) + -6(p + -2) = -4p + -6 + 3 + -6p (-5 + -5p) + -6(p + -2) = -4p + -6 + 3 + -6p Reorder the terms: -5 + -5p + -6(-2 + p) = -4p + -6 + 3 + -6p -5 + -5p + (-2 * -6 + p * -6) = -4p + -6 + 3 + -6p -5 + -5p + (12 + -6p) = -4p + -6 + 3 + -6p Reorder the terms: -5 + 12 + -5p + -6p = -4p + -6 + 3 + -6p Combine like terms: -5 + 12 = 7 7 + -5p + -6p = -4p + -6 + 3 + -6p Combine like terms: -5p + -6p = -11p 7 + -11p = -4p + -6 + 3 + -6p Reorder the terms: 7 + -11p = -6 + 3 + -4p + -6p Combine like terms: -6 + 3 = -3 7 + -11p = -3 + -4p + -6p Combine like terms: -4p + -6p = -10p 7 + -11p = -3 + -10p Solving 7 + -11p = -3 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. 7 + -11p + 10p = -3 + -10p + 10p Combine like terms: -11p + 10p = -1p 7 + -1p = -3 + -10p + 10p Combine like terms: -10p + 10p = 0 7 + -1p = -3 + 0 7 + -1p = -3 Add '-7' to each side of the equation. 7 + -7 + -1p = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -1p = -3 + -7 -1p = -3 + -7 Combine like terms: -3 + -7 = -10 -1p = -10 Divide each side by '-1'. p = 10 Simplifying p = 10
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