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Simplifying 8(7p + -2) = -2(7p + 5) + -6 Reorder the terms: 8(-2 + 7p) = -2(7p + 5) + -6 (-2 * 8 + 7p * 8) = -2(7p + 5) + -6 (-16 + 56p) = -2(7p + 5) + -6 Reorder the terms: -16 + 56p = -2(5 + 7p) + -6 -16 + 56p = (5 * -2 + 7p * -2) + -6 -16 + 56p = (-10 + -14p) + -6 Reorder the terms: -16 + 56p = -10 + -6 + -14p Combine like terms: -10 + -6 = -16 -16 + 56p = -16 + -14p Add '16' to each side of the equation. -16 + 16 + 56p = -16 + 16 + -14p Combine like terms: -16 + 16 = 0 0 + 56p = -16 + 16 + -14p 56p = -16 + 16 + -14p Combine like terms: -16 + 16 = 0 56p = 0 + -14p 56p = -14p Solving 56p = -14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '14p' to each side of the equation. 56p + 14p = -14p + 14p Combine like terms: 56p + 14p = 70p 70p = -14p + 14p Combine like terms: -14p + 14p = 0 70p = 0 Divide each side by '70'. p = 0.0 Simplifying p = 0.0
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