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Simplifying -6p + -2(4 + -6p) = 3(p + -2) + -26 -6p + (4 * -2 + -6p * -2) = 3(p + -2) + -26 -6p + (-8 + 12p) = 3(p + -2) + -26 Reorder the terms: -8 + -6p + 12p = 3(p + -2) + -26 Combine like terms: -6p + 12p = 6p -8 + 6p = 3(p + -2) + -26 Reorder the terms: -8 + 6p = 3(-2 + p) + -26 -8 + 6p = (-2 * 3 + p * 3) + -26 -8 + 6p = (-6 + 3p) + -26 Reorder the terms: -8 + 6p = -6 + -26 + 3p Combine like terms: -6 + -26 = -32 -8 + 6p = -32 + 3p Solving -8 + 6p = -32 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -8 + 6p + -3p = -32 + 3p + -3p Combine like terms: 6p + -3p = 3p -8 + 3p = -32 + 3p + -3p Combine like terms: 3p + -3p = 0 -8 + 3p = -32 + 0 -8 + 3p = -32 Add '8' to each side of the equation. -8 + 8 + 3p = -32 + 8 Combine like terms: -8 + 8 = 0 0 + 3p = -32 + 8 3p = -32 + 8 Combine like terms: -32 + 8 = -24 3p = -24 Divide each side by '3'. p = -8 Simplifying p = -8
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