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Simplifying 1 + 4(-8p + -4) = -7p + 35 Reorder the terms: 1 + 4(-4 + -8p) = -7p + 35 1 + (-4 * 4 + -8p * 4) = -7p + 35 1 + (-16 + -32p) = -7p + 35 Combine like terms: 1 + -16 = -15 -15 + -32p = -7p + 35 Reorder the terms: -15 + -32p = 35 + -7p Solving -15 + -32p = 35 + -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. -15 + -32p + 7p = 35 + -7p + 7p Combine like terms: -32p + 7p = -25p -15 + -25p = 35 + -7p + 7p Combine like terms: -7p + 7p = 0 -15 + -25p = 35 + 0 -15 + -25p = 35 Add '15' to each side of the equation. -15 + 15 + -25p = 35 + 15 Combine like terms: -15 + 15 = 0 0 + -25p = 35 + 15 -25p = 35 + 15 Combine like terms: 35 + 15 = 50 -25p = 50 Divide each side by '-25'. p = -2 Simplifying p = -2
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