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Simplifying -23p + -6(2 + -5p) = 3(p + -5) + -5 -23p + (2 * -6 + -5p * -6) = 3(p + -5) + -5 -23p + (-12 + 30p) = 3(p + -5) + -5 Reorder the terms: -12 + -23p + 30p = 3(p + -5) + -5 Combine like terms: -23p + 30p = 7p -12 + 7p = 3(p + -5) + -5 Reorder the terms: -12 + 7p = 3(-5 + p) + -5 -12 + 7p = (-5 * 3 + p * 3) + -5 -12 + 7p = (-15 + 3p) + -5 Reorder the terms: -12 + 7p = -15 + -5 + 3p Combine like terms: -15 + -5 = -20 -12 + 7p = -20 + 3p Solving -12 + 7p = -20 + 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 = -20 + 3p + -3p Combine like terms: 7p + -3p = 4p -12 + 4p = -20 + 3p + -3p Combine like terms: 3p + -3p = 0 -12 + 4p = -20 + 0 -12 + 4p = -20 Add '12' to each side of the equation. -12 + 12 + 4p = -20 + 12 Combine like terms: -12 + 12 = 0 0 + 4p = -20 + 12 4p = -20 + 12 Combine like terms: -20 + 12 = -8 4p = -8 Divide each side by '4'. p = -2 Simplifying p = -2
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