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Simplifying -11 + -2p = 6p + 5(p + 3) Reorder the terms: -11 + -2p = 6p + 5(3 + p) -11 + -2p = 6p + (3 * 5 + p * 5) -11 + -2p = 6p + (15 + 5p) Reorder the terms: -11 + -2p = 15 + 6p + 5p Combine like terms: 6p + 5p = 11p -11 + -2p = 15 + 11p Solving -11 + -2p = 15 + 11p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-11p' to each side of the equation. -11 + -2p + -11p = 15 + 11p + -11p Combine like terms: -2p + -11p = -13p -11 + -13p = 15 + 11p + -11p Combine like terms: 11p + -11p = 0 -11 + -13p = 15 + 0 -11 + -13p = 15 Add '11' to each side of the equation. -11 + 11 + -13p = 15 + 11 Combine like terms: -11 + 11 = 0 0 + -13p = 15 + 11 -13p = 15 + 11 Combine like terms: 15 + 11 = 26 -13p = 26 Divide each side by '-13'. p = -2 Simplifying p = -2
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