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Simplifying -6 + 7(-1p + -5) = 4(p + -2) Reorder the terms: -6 + 7(-5 + -1p) = 4(p + -2) -6 + (-5 * 7 + -1p * 7) = 4(p + -2) -6 + (-35 + -7p) = 4(p + -2) Combine like terms: -6 + -35 = -41 -41 + -7p = 4(p + -2) Reorder the terms: -41 + -7p = 4(-2 + p) -41 + -7p = (-2 * 4 + p * 4) -41 + -7p = (-8 + 4p) Solving -41 + -7p = -8 + 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. -41 + -7p + -4p = -8 + 4p + -4p Combine like terms: -7p + -4p = -11p -41 + -11p = -8 + 4p + -4p Combine like terms: 4p + -4p = 0 -41 + -11p = -8 + 0 -41 + -11p = -8 Add '41' to each side of the equation. -41 + 41 + -11p = -8 + 41 Combine like terms: -41 + 41 = 0 0 + -11p = -8 + 41 -11p = -8 + 41 Combine like terms: -8 + 41 = 33 -11p = 33 Divide each side by '-11'. p = -3 Simplifying p = -3
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