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Simplifying -4(3 + -7p) + 5 = 7(p + 8) (3 * -4 + -7p * -4) + 5 = 7(p + 8) (-12 + 28p) + 5 = 7(p + 8) Reorder the terms: -12 + 5 + 28p = 7(p + 8) Combine like terms: -12 + 5 = -7 -7 + 28p = 7(p + 8) Reorder the terms: -7 + 28p = 7(8 + p) -7 + 28p = (8 * 7 + p * 7) -7 + 28p = (56 + 7p) Solving -7 + 28p = 56 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -7 + 28p + -7p = 56 + 7p + -7p Combine like terms: 28p + -7p = 21p -7 + 21p = 56 + 7p + -7p Combine like terms: 7p + -7p = 0 -7 + 21p = 56 + 0 -7 + 21p = 56 Add '7' to each side of the equation. -7 + 7 + 21p = 56 + 7 Combine like terms: -7 + 7 = 0 0 + 21p = 56 + 7 21p = 56 + 7 Combine like terms: 56 + 7 = 63 21p = 63 Divide each side by '21'. p = 3 Simplifying p = 3
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