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Simplifying -12x + -4(5 + -5p) = 5(x + -6) + -8 -12x + (5 * -4 + -5p * -4) = 5(x + -6) + -8 -12x + (-20 + 20p) = 5(x + -6) + -8 Reorder the terms: -20 + 20p + -12x = 5(x + -6) + -8 Reorder the terms: -20 + 20p + -12x = 5(-6 + x) + -8 -20 + 20p + -12x = (-6 * 5 + x * 5) + -8 -20 + 20p + -12x = (-30 + 5x) + -8 Reorder the terms: -20 + 20p + -12x = -30 + -8 + 5x Combine like terms: -30 + -8 = -38 -20 + 20p + -12x = -38 + 5x Solving -20 + 20p + -12x = -38 + 5x Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20p + 20 + -12x = -38 + 20 + 5x Reorder the terms: -20 + 20 + 20p + -12x = -38 + 20 + 5x Combine like terms: -20 + 20 = 0 0 + 20p + -12x = -38 + 20 + 5x 20p + -12x = -38 + 20 + 5x Combine like terms: -38 + 20 = -18 20p + -12x = -18 + 5x Add '12x' to each side of the equation. 20p + -12x + 12x = -18 + 5x + 12x Combine like terms: -12x + 12x = 0 20p + 0 = -18 + 5x + 12x 20p = -18 + 5x + 12x Combine like terms: 5x + 12x = 17x 20p = -18 + 17x Divide each side by '20'. p = -0.9 + 0.85x Simplifying p = -0.9 + 0.85x
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