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Simplifying -40 + 3p = -8(-8 + 4p) + 1 -40 + 3p = (-8 * -8 + 4p * -8) + 1 -40 + 3p = (64 + -32p) + 1 Reorder the terms: -40 + 3p = 64 + 1 + -32p Combine like terms: 64 + 1 = 65 -40 + 3p = 65 + -32p Solving -40 + 3p = 65 + -32p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '32p' to each side of the equation. -40 + 3p + 32p = 65 + -32p + 32p Combine like terms: 3p + 32p = 35p -40 + 35p = 65 + -32p + 32p Combine like terms: -32p + 32p = 0 -40 + 35p = 65 + 0 -40 + 35p = 65 Add '40' to each side of the equation. -40 + 40 + 35p = 65 + 40 Combine like terms: -40 + 40 = 0 0 + 35p = 65 + 40 35p = 65 + 40 Combine like terms: 65 + 40 = 105 35p = 105 Divide each side by '35'. p = 3 Simplifying p = 3
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