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Simplifying -23p + -5(4 + -6p) = 3(p + -3) + -35 -23p + (4 * -5 + -6p * -5) = 3(p + -3) + -35 -23p + (-20 + 30p) = 3(p + -3) + -35 Reorder the terms: -20 + -23p + 30p = 3(p + -3) + -35 Combine like terms: -23p + 30p = 7p -20 + 7p = 3(p + -3) + -35 Reorder the terms: -20 + 7p = 3(-3 + p) + -35 -20 + 7p = (-3 * 3 + p * 3) + -35 -20 + 7p = (-9 + 3p) + -35 Reorder the terms: -20 + 7p = -9 + -35 + 3p Combine like terms: -9 + -35 = -44 -20 + 7p = -44 + 3p Solving -20 + 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. -20 + 7p + -3p = -44 + 3p + -3p Combine like terms: 7p + -3p = 4p -20 + 4p = -44 + 3p + -3p Combine like terms: 3p + -3p = 0 -20 + 4p = -44 + 0 -20 + 4p = -44 Add '20' to each side of the equation. -20 + 20 + 4p = -44 + 20 Combine like terms: -20 + 20 = 0 0 + 4p = -44 + 20 4p = -44 + 20 Combine like terms: -44 + 20 = -24 4p = -24 Divide each side by '4'. p = -6 Simplifying p = -6
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