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Simplifying -29p + -6(6 + -6p) = 3(p + -5) + -5 -29p + (6 * -6 + -6p * -6) = 3(p + -5) + -5 -29p + (-36 + 36p) = 3(p + -5) + -5 Reorder the terms: -36 + -29p + 36p = 3(p + -5) + -5 Combine like terms: -29p + 36p = 7p -36 + 7p = 3(p + -5) + -5 Reorder the terms: -36 + 7p = 3(-5 + p) + -5 -36 + 7p = (-5 * 3 + p * 3) + -5 -36 + 7p = (-15 + 3p) + -5 Reorder the terms: -36 + 7p = -15 + -5 + 3p Combine like terms: -15 + -5 = -20 -36 + 7p = -20 + 3p Solving -36 + 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. -36 + 7p + -3p = -20 + 3p + -3p Combine like terms: 7p + -3p = 4p -36 + 4p = -20 + 3p + -3p Combine like terms: 3p + -3p = 0 -36 + 4p = -20 + 0 -36 + 4p = -20 Add '36' to each side of the equation. -36 + 36 + 4p = -20 + 36 Combine like terms: -36 + 36 = 0 0 + 4p = -20 + 36 4p = -20 + 36 Combine like terms: -20 + 36 = 16 4p = 16 Divide each side by '4'. p = 4 Simplifying p = 4
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