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Simplifying -23p + -6(6 + -5p) = 3(p + -3) + -7 -23p + (6 * -6 + -5p * -6) = 3(p + -3) + -7 -23p + (-36 + 30p) = 3(p + -3) + -7 Reorder the terms: -36 + -23p + 30p = 3(p + -3) + -7 Combine like terms: -23p + 30p = 7p -36 + 7p = 3(p + -3) + -7 Reorder the terms: -36 + 7p = 3(-3 + p) + -7 -36 + 7p = (-3 * 3 + p * 3) + -7 -36 + 7p = (-9 + 3p) + -7 Reorder the terms: -36 + 7p = -9 + -7 + 3p Combine like terms: -9 + -7 = -16 -36 + 7p = -16 + 3p Solving -36 + 7p = -16 + 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. -36 + 7p + -3p = -16 + 3p + -3p Combine like terms: 7p + -3p = 4p -36 + 4p = -16 + 3p + -3p Combine like terms: 3p + -3p = 0 -36 + 4p = -16 + 0 -36 + 4p = -16 Add '36' to each side of the equation. -36 + 36 + 4p = -16 + 36 Combine like terms: -36 + 36 = 0 0 + 4p = -16 + 36 4p = -16 + 36 Combine like terms: -16 + 36 = 20 4p = 20 Divide each side by '4'. p = 5 Simplifying p = 5
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