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Simplifying 6(p + -5) + 2 = 2p + 10 Reorder the terms: 6(-5 + p) + 2 = 2p + 10 (-5 * 6 + p * 6) + 2 = 2p + 10 (-30 + 6p) + 2 = 2p + 10 Reorder the terms: -30 + 2 + 6p = 2p + 10 Combine like terms: -30 + 2 = -28 -28 + 6p = 2p + 10 Reorder the terms: -28 + 6p = 10 + 2p Solving -28 + 6p = 10 + 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. -28 + 6p + -2p = 10 + 2p + -2p Combine like terms: 6p + -2p = 4p -28 + 4p = 10 + 2p + -2p Combine like terms: 2p + -2p = 0 -28 + 4p = 10 + 0 -28 + 4p = 10 Add '28' to each side of the equation. -28 + 28 + 4p = 10 + 28 Combine like terms: -28 + 28 = 0 0 + 4p = 10 + 28 4p = 10 + 28 Combine like terms: 10 + 28 = 38 4p = 38 Divide each side by '4'. p = 9.5 Simplifying p = 9.5
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