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Simplifying -3(7p + 4) + -2(2 + -20) = 3(1 + 6p) Reorder the terms: -3(4 + 7p) + -2(2 + -20) = 3(1 + 6p) (4 * -3 + 7p * -3) + -2(2 + -20) = 3(1 + 6p) (-12 + -21p) + -2(2 + -20) = 3(1 + 6p) Combine like terms: 2 + -20 = -18 -12 + -21p + -2(-18) = 3(1 + 6p) Multiply -2 * -18 -12 + -21p + 36 = 3(1 + 6p) Reorder the terms: -12 + 36 + -21p = 3(1 + 6p) Combine like terms: -12 + 36 = 24 24 + -21p = 3(1 + 6p) 24 + -21p = (1 * 3 + 6p * 3) 24 + -21p = (3 + 18p) Solving 24 + -21p = 3 + 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. 24 + -21p + -18p = 3 + 18p + -18p Combine like terms: -21p + -18p = -39p 24 + -39p = 3 + 18p + -18p Combine like terms: 18p + -18p = 0 24 + -39p = 3 + 0 24 + -39p = 3 Add '-24' to each side of the equation. 24 + -24 + -39p = 3 + -24 Combine like terms: 24 + -24 = 0 0 + -39p = 3 + -24 -39p = 3 + -24 Combine like terms: 3 + -24 = -21 -39p = -21 Divide each side by '-39'. p = 0.5384615385 Simplifying p = 0.5384615385
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