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Simplifying 6p + -1(5p + 5) = -8 + -28(p + 12) Reorder the terms: 6p + -1(5 + 5p) = -8 + -28(p + 12) 6p + (5 * -1 + 5p * -1) = -8 + -28(p + 12) 6p + (-5 + -5p) = -8 + -28(p + 12) Reorder the terms: -5 + 6p + -5p = -8 + -28(p + 12) Combine like terms: 6p + -5p = 1p -5 + 1p = -8 + -28(p + 12) Reorder the terms: -5 + 1p = -8 + -28(12 + p) -5 + 1p = -8 + (12 * -28 + p * -28) -5 + 1p = -8 + (-336 + -28p) Combine like terms: -8 + -336 = -344 -5 + 1p = -344 + -28p Solving -5 + 1p = -344 + -28p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '28p' to each side of the equation. -5 + 1p + 28p = -344 + -28p + 28p Combine like terms: 1p + 28p = 29p -5 + 29p = -344 + -28p + 28p Combine like terms: -28p + 28p = 0 -5 + 29p = -344 + 0 -5 + 29p = -344 Add '5' to each side of the equation. -5 + 5 + 29p = -344 + 5 Combine like terms: -5 + 5 = 0 0 + 29p = -344 + 5 29p = -344 + 5 Combine like terms: -344 + 5 = -339 29p = -339 Divide each side by '29'. p = -11.68965517 Simplifying p = -11.68965517
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