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Simplifying 8(7 + -1p) + -8 = -16(p + -3) (7 * 8 + -1p * 8) + -8 = -16(p + -3) (56 + -8p) + -8 = -16(p + -3) Reorder the terms: 56 + -8 + -8p = -16(p + -3) Combine like terms: 56 + -8 = 48 48 + -8p = -16(p + -3) Reorder the terms: 48 + -8p = -16(-3 + p) 48 + -8p = (-3 * -16 + p * -16) 48 + -8p = (48 + -16p) Add '-48' to each side of the equation. 48 + -48 + -8p = 48 + -48 + -16p Combine like terms: 48 + -48 = 0 0 + -8p = 48 + -48 + -16p -8p = 48 + -48 + -16p Combine like terms: 48 + -48 = 0 -8p = 0 + -16p -8p = -16p Solving -8p = -16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '16p' to each side of the equation. -8p + 16p = -16p + 16p Combine like terms: -8p + 16p = 8p 8p = -16p + 16p Combine like terms: -16p + 16p = 0 8p = 0 Divide each side by '8'. p = 0 Simplifying p = 0
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