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Simplifying -3(7p + 4) + -2(1 + -20p) = 3(9 + 6p) Reorder the terms: -3(4 + 7p) + -2(1 + -20p) = 3(9 + 6p) (4 * -3 + 7p * -3) + -2(1 + -20p) = 3(9 + 6p) (-12 + -21p) + -2(1 + -20p) = 3(9 + 6p) -12 + -21p + (1 * -2 + -20p * -2) = 3(9 + 6p) -12 + -21p + (-2 + 40p) = 3(9 + 6p) Reorder the terms: -12 + -2 + -21p + 40p = 3(9 + 6p) Combine like terms: -12 + -2 = -14 -14 + -21p + 40p = 3(9 + 6p) Combine like terms: -21p + 40p = 19p -14 + 19p = 3(9 + 6p) -14 + 19p = (9 * 3 + 6p * 3) -14 + 19p = (27 + 18p) Solving -14 + 19p = 27 + 18p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-18p' to each side of the equation. -14 + 19p + -18p = 27 + 18p + -18p Combine like terms: 19p + -18p = 1p -14 + 1p = 27 + 18p + -18p Combine like terms: 18p + -18p = 0 -14 + 1p = 27 + 0 -14 + 1p = 27 Add '14' to each side of the equation. -14 + 14 + 1p = 27 + 14 Combine like terms: -14 + 14 = 0 0 + 1p = 27 + 14 1p = 27 + 14 Combine like terms: 27 + 14 = 41 1p = 41 Divide each side by '1'. p = 41 Simplifying p = 41
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