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Simplifying -29p + -6(5 + -6p) = 3(p + -4) + -34 -29p + (5 * -6 + -6p * -6) = 3(p + -4) + -34 -29p + (-30 + 36p) = 3(p + -4) + -34 Reorder the terms: -30 + -29p + 36p = 3(p + -4) + -34 Combine like terms: -29p + 36p = 7p -30 + 7p = 3(p + -4) + -34 Reorder the terms: -30 + 7p = 3(-4 + p) + -34 -30 + 7p = (-4 * 3 + p * 3) + -34 -30 + 7p = (-12 + 3p) + -34 Reorder the terms: -30 + 7p = -12 + -34 + 3p Combine like terms: -12 + -34 = -46 -30 + 7p = -46 + 3p Solving -30 + 7p = -46 + 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. -30 + 7p + -3p = -46 + 3p + -3p Combine like terms: 7p + -3p = 4p -30 + 4p = -46 + 3p + -3p Combine like terms: 3p + -3p = 0 -30 + 4p = -46 + 0 -30 + 4p = -46 Add '30' to each side of the equation. -30 + 30 + 4p = -46 + 30 Combine like terms: -30 + 30 = 0 0 + 4p = -46 + 30 4p = -46 + 30 Combine like terms: -46 + 30 = -16 4p = -16 Divide each side by '4'. p = -4 Simplifying p = -4
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