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Simplifying -23p + -6(2 + -5p) = 3(p + -6) + -26 -23p + (2 * -6 + -5p * -6) = 3(p + -6) + -26 -23p + (-12 + 30p) = 3(p + -6) + -26 Reorder the terms: -12 + -23p + 30p = 3(p + -6) + -26 Combine like terms: -23p + 30p = 7p -12 + 7p = 3(p + -6) + -26 Reorder the terms: -12 + 7p = 3(-6 + p) + -26 -12 + 7p = (-6 * 3 + p * 3) + -26 -12 + 7p = (-18 + 3p) + -26 Reorder the terms: -12 + 7p = -18 + -26 + 3p Combine like terms: -18 + -26 = -44 -12 + 7p = -44 + 3p Solving -12 + 7p = -44 + 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. -12 + 7p + -3p = -44 + 3p + -3p Combine like terms: 7p + -3p = 4p -12 + 4p = -44 + 3p + -3p Combine like terms: 3p + -3p = 0 -12 + 4p = -44 + 0 -12 + 4p = -44 Add '12' to each side of the equation. -12 + 12 + 4p = -44 + 12 Combine like terms: -12 + 12 = 0 0 + 4p = -44 + 12 4p = -44 + 12 Combine like terms: -44 + 12 = -32 4p = -32 Divide each side by '4'. p = -8 Simplifying p = -8
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