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Simplifying 2(p + -1(3p + 13) + 10) = 2(p + 3) Reorder the terms: 2(p + -1(13 + 3p) + 10) = 2(p + 3) 2(p + (13 * -1 + 3p * -1) + 10) = 2(p + 3) 2(p + (-13 + -3p) + 10) = 2(p + 3) Reorder the terms: 2(-13 + 10 + p + -3p) = 2(p + 3) Combine like terms: -13 + 10 = -3 2(-3 + p + -3p) = 2(p + 3) Combine like terms: p + -3p = -2p 2(-3 + -2p) = 2(p + 3) (-3 * 2 + -2p * 2) = 2(p + 3) (-6 + -4p) = 2(p + 3) Reorder the terms: -6 + -4p = 2(3 + p) -6 + -4p = (3 * 2 + p * 2) -6 + -4p = (6 + 2p) Solving -6 + -4p = 6 + 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. -6 + -4p + -2p = 6 + 2p + -2p Combine like terms: -4p + -2p = -6p -6 + -6p = 6 + 2p + -2p Combine like terms: 2p + -2p = 0 -6 + -6p = 6 + 0 -6 + -6p = 6 Add '6' to each side of the equation. -6 + 6 + -6p = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -6p = 6 + 6 -6p = 6 + 6 Combine like terms: 6 + 6 = 12 -6p = 12 Divide each side by '-6'. p = -2 Simplifying p = -2
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