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Simplifying -5p + -9 = -8 + -2(4 + 6p) Reorder the terms: -9 + -5p = -8 + -2(4 + 6p) -9 + -5p = -8 + (4 * -2 + 6p * -2) -9 + -5p = -8 + (-8 + -12p) Combine like terms: -8 + -8 = -16 -9 + -5p = -16 + -12p Solving -9 + -5p = -16 + -12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12p' to each side of the equation. -9 + -5p + 12p = -16 + -12p + 12p Combine like terms: -5p + 12p = 7p -9 + 7p = -16 + -12p + 12p Combine like terms: -12p + 12p = 0 -9 + 7p = -16 + 0 -9 + 7p = -16 Add '9' to each side of the equation. -9 + 9 + 7p = -16 + 9 Combine like terms: -9 + 9 = 0 0 + 7p = -16 + 9 7p = -16 + 9 Combine like terms: -16 + 9 = -7 7p = -7 Divide each side by '7'. p = -1 Simplifying p = -1
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