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Simplifying -6p + 11 = -5(p + -3) Reorder the terms: 11 + -6p = -5(p + -3) Reorder the terms: 11 + -6p = -5(-3 + p) 11 + -6p = (-3 * -5 + p * -5) 11 + -6p = (15 + -5p) Solving 11 + -6p = 15 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. 11 + -6p + 5p = 15 + -5p + 5p Combine like terms: -6p + 5p = -1p 11 + -1p = 15 + -5p + 5p Combine like terms: -5p + 5p = 0 11 + -1p = 15 + 0 11 + -1p = 15 Add '-11' to each side of the equation. 11 + -11 + -1p = 15 + -11 Combine like terms: 11 + -11 = 0 0 + -1p = 15 + -11 -1p = 15 + -11 Combine like terms: 15 + -11 = 4 -1p = 4 Divide each side by '-1'. p = -4 Simplifying p = -4
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