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Simplifying 2(8p + -4) + -8(p + 1) = -40 Reorder the terms: 2(-4 + 8p) + -8(p + 1) = -40 (-4 * 2 + 8p * 2) + -8(p + 1) = -40 (-8 + 16p) + -8(p + 1) = -40 Reorder the terms: -8 + 16p + -8(1 + p) = -40 -8 + 16p + (1 * -8 + p * -8) = -40 -8 + 16p + (-8 + -8p) = -40 Reorder the terms: -8 + -8 + 16p + -8p = -40 Combine like terms: -8 + -8 = -16 -16 + 16p + -8p = -40 Combine like terms: 16p + -8p = 8p -16 + 8p = -40 Solving -16 + 8p = -40 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 8p = -40 + 16 Combine like terms: -16 + 16 = 0 0 + 8p = -40 + 16 8p = -40 + 16 Combine like terms: -40 + 16 = -24 8p = -24 Divide each side by '8'. p = -3 Simplifying p = -3
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