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Simplifying 6p + -2(2 + -2p) = 5(p + -2) + -29 6p + (2 * -2 + -2p * -2) = 5(p + -2) + -29 6p + (-4 + 4p) = 5(p + -2) + -29 Reorder the terms: -4 + 6p + 4p = 5(p + -2) + -29 Combine like terms: 6p + 4p = 10p -4 + 10p = 5(p + -2) + -29 Reorder the terms: -4 + 10p = 5(-2 + p) + -29 -4 + 10p = (-2 * 5 + p * 5) + -29 -4 + 10p = (-10 + 5p) + -29 Reorder the terms: -4 + 10p = -10 + -29 + 5p Combine like terms: -10 + -29 = -39 -4 + 10p = -39 + 5p Solving -4 + 10p = -39 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -4 + 10p + -5p = -39 + 5p + -5p Combine like terms: 10p + -5p = 5p -4 + 5p = -39 + 5p + -5p Combine like terms: 5p + -5p = 0 -4 + 5p = -39 + 0 -4 + 5p = -39 Add '4' to each side of the equation. -4 + 4 + 5p = -39 + 4 Combine like terms: -4 + 4 = 0 0 + 5p = -39 + 4 5p = -39 + 4 Combine like terms: -39 + 4 = -35 5p = -35 Divide each side by '5'. p = -7 Simplifying p = -7
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