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Simplifying 6p + -5p + 5 = -8 + -8(p + 12) Reorder the terms: 5 + 6p + -5p = -8 + -8(p + 12) Combine like terms: 6p + -5p = 1p 5 + 1p = -8 + -8(p + 12) Reorder the terms: 5 + 1p = -8 + -8(12 + p) 5 + 1p = -8 + (12 * -8 + p * -8) 5 + 1p = -8 + (-96 + -8p) Combine like terms: -8 + -96 = -104 5 + 1p = -104 + -8p Solving 5 + 1p = -104 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. 5 + 1p + 8p = -104 + -8p + 8p Combine like terms: 1p + 8p = 9p 5 + 9p = -104 + -8p + 8p Combine like terms: -8p + 8p = 0 5 + 9p = -104 + 0 5 + 9p = -104 Add '-5' to each side of the equation. 5 + -5 + 9p = -104 + -5 Combine like terms: 5 + -5 = 0 0 + 9p = -104 + -5 9p = -104 + -5 Combine like terms: -104 + -5 = -109 9p = -109 Divide each side by '9'. p = -12.11111111 Simplifying p = -12.11111111
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