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Simplifying 8(6p + -7) + -7p = -7(3p + 8) Reorder the terms: 8(-7 + 6p) + -7p = -7(3p + 8) (-7 * 8 + 6p * 8) + -7p = -7(3p + 8) (-56 + 48p) + -7p = -7(3p + 8) Combine like terms: 48p + -7p = 41p -56 + 41p = -7(3p + 8) Reorder the terms: -56 + 41p = -7(8 + 3p) -56 + 41p = (8 * -7 + 3p * -7) -56 + 41p = (-56 + -21p) Add '56' to each side of the equation. -56 + 56 + 41p = -56 + 56 + -21p Combine like terms: -56 + 56 = 0 0 + 41p = -56 + 56 + -21p 41p = -56 + 56 + -21p Combine like terms: -56 + 56 = 0 41p = 0 + -21p 41p = -21p Solving 41p = -21p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '21p' to each side of the equation. 41p + 21p = -21p + 21p Combine like terms: 41p + 21p = 62p 62p = -21p + 21p Combine like terms: -21p + 21p = 0 62p = 0 Divide each side by '62'. p = 0 Simplifying p = 0
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