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Simplifying 5(2p + -2) + 3(2p + -6) = 3p + 11 Reorder the terms: 5(-2 + 2p) + 3(2p + -6) = 3p + 11 (-2 * 5 + 2p * 5) + 3(2p + -6) = 3p + 11 (-10 + 10p) + 3(2p + -6) = 3p + 11 Reorder the terms: -10 + 10p + 3(-6 + 2p) = 3p + 11 -10 + 10p + (-6 * 3 + 2p * 3) = 3p + 11 -10 + 10p + (-18 + 6p) = 3p + 11 Reorder the terms: -10 + -18 + 10p + 6p = 3p + 11 Combine like terms: -10 + -18 = -28 -28 + 10p + 6p = 3p + 11 Combine like terms: 10p + 6p = 16p -28 + 16p = 3p + 11 Reorder the terms: -28 + 16p = 11 + 3p Solving -28 + 16p = 11 + 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. -28 + 16p + -3p = 11 + 3p + -3p Combine like terms: 16p + -3p = 13p -28 + 13p = 11 + 3p + -3p Combine like terms: 3p + -3p = 0 -28 + 13p = 11 + 0 -28 + 13p = 11 Add '28' to each side of the equation. -28 + 28 + 13p = 11 + 28 Combine like terms: -28 + 28 = 0 0 + 13p = 11 + 28 13p = 11 + 28 Combine like terms: 11 + 28 = 39 13p = 39 Divide each side by '13'. p = 3 Simplifying p = 3
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