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Simplifying 2(p + -3) + -5(3 + -6p) = 2p + 39 Reorder the terms: 2(-3 + p) + -5(3 + -6p) = 2p + 39 (-3 * 2 + p * 2) + -5(3 + -6p) = 2p + 39 (-6 + 2p) + -5(3 + -6p) = 2p + 39 -6 + 2p + (3 * -5 + -6p * -5) = 2p + 39 -6 + 2p + (-15 + 30p) = 2p + 39 Reorder the terms: -6 + -15 + 2p + 30p = 2p + 39 Combine like terms: -6 + -15 = -21 -21 + 2p + 30p = 2p + 39 Combine like terms: 2p + 30p = 32p -21 + 32p = 2p + 39 Reorder the terms: -21 + 32p = 39 + 2p Solving -21 + 32p = 39 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -21 + 32p + -2p = 39 + 2p + -2p Combine like terms: 32p + -2p = 30p -21 + 30p = 39 + 2p + -2p Combine like terms: 2p + -2p = 0 -21 + 30p = 39 + 0 -21 + 30p = 39 Add '21' to each side of the equation. -21 + 21 + 30p = 39 + 21 Combine like terms: -21 + 21 = 0 0 + 30p = 39 + 21 30p = 39 + 21 Combine like terms: 39 + 21 = 60 30p = 60 Divide each side by '30'. p = 2 Simplifying p = 2
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