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Simplifying 7(p + -3) + -7 = -8(-8p + 4) + 4 Reorder the terms: 7(-3 + p) + -7 = -8(-8p + 4) + 4 (-3 * 7 + p * 7) + -7 = -8(-8p + 4) + 4 (-21 + 7p) + -7 = -8(-8p + 4) + 4 Reorder the terms: -21 + -7 + 7p = -8(-8p + 4) + 4 Combine like terms: -21 + -7 = -28 -28 + 7p = -8(-8p + 4) + 4 Reorder the terms: -28 + 7p = -8(4 + -8p) + 4 -28 + 7p = (4 * -8 + -8p * -8) + 4 -28 + 7p = (-32 + 64p) + 4 Reorder the terms: -28 + 7p = -32 + 4 + 64p Combine like terms: -32 + 4 = -28 -28 + 7p = -28 + 64p Add '28' to each side of the equation. -28 + 28 + 7p = -28 + 28 + 64p Combine like terms: -28 + 28 = 0 0 + 7p = -28 + 28 + 64p 7p = -28 + 28 + 64p Combine like terms: -28 + 28 = 0 7p = 0 + 64p 7p = 64p Solving 7p = 64p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-64p' to each side of the equation. 7p + -64p = 64p + -64p Combine like terms: 7p + -64p = -57p -57p = 64p + -64p Combine like terms: 64p + -64p = 0 -57p = 0 Divide each side by '-57'. p = 0 Simplifying p = 0
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