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Simplifying -3(7p + 5) + -2(2 + -14p) = 3(4 + 2p) Reorder the terms: -3(5 + 7p) + -2(2 + -14p) = 3(4 + 2p) (5 * -3 + 7p * -3) + -2(2 + -14p) = 3(4 + 2p) (-15 + -21p) + -2(2 + -14p) = 3(4 + 2p) -15 + -21p + (2 * -2 + -14p * -2) = 3(4 + 2p) -15 + -21p + (-4 + 28p) = 3(4 + 2p) Reorder the terms: -15 + -4 + -21p + 28p = 3(4 + 2p) Combine like terms: -15 + -4 = -19 -19 + -21p + 28p = 3(4 + 2p) Combine like terms: -21p + 28p = 7p -19 + 7p = 3(4 + 2p) -19 + 7p = (4 * 3 + 2p * 3) -19 + 7p = (12 + 6p) Solving -19 + 7p = 12 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -19 + 7p + -6p = 12 + 6p + -6p Combine like terms: 7p + -6p = 1p -19 + 1p = 12 + 6p + -6p Combine like terms: 6p + -6p = 0 -19 + 1p = 12 + 0 -19 + 1p = 12 Add '19' to each side of the equation. -19 + 19 + 1p = 12 + 19 Combine like terms: -19 + 19 = 0 0 + 1p = 12 + 19 1p = 12 + 19 Combine like terms: 12 + 19 = 31 1p = 31 Divide each side by '1'. p = 31 Simplifying p = 31
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