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Simplifying 4(7 + -5p + -6) = P + -5(6p + -4 + -2p) Reorder the terms: 4(7 + -6 + -5p) = P + -5(6p + -4 + -2p) Combine like terms: 7 + -6 = 1 4(1 + -5p) = P + -5(6p + -4 + -2p) (1 * 4 + -5p * 4) = P + -5(6p + -4 + -2p) (4 + -20p) = P + -5(6p + -4 + -2p) Reorder the terms: 4 + -20p = P + -5(-4 + 6p + -2p) Combine like terms: 6p + -2p = 4p 4 + -20p = P + -5(-4 + 4p) 4 + -20p = P + (-4 * -5 + 4p * -5) 4 + -20p = P + (20 + -20p) Reorder the terms: 4 + -20p = 20 + P + -20p Add '20p' to each side of the equation. 4 + -20p + 20p = 20 + P + -20p + 20p Combine like terms: -20p + 20p = 0 4 + 0 = 20 + P + -20p + 20p 4 = 20 + P + -20p + 20p Combine like terms: -20p + 20p = 0 4 = 20 + P + 0 4 = 20 + P Solving 4 = 20 + P Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-1P' to each side of the equation. 4 + -1P = 20 + P + -1P Combine like terms: P + -1P = 0 4 + -1P = 20 + 0 4 + -1P = 20 Add '-4' to each side of the equation. 4 + -4 + -1P = 20 + -4 Combine like terms: 4 + -4 = 0 0 + -1P = 20 + -4 -1P = 20 + -4 Combine like terms: 20 + -4 = 16 -1P = 16 Divide each side by '-1'. P = -16 Simplifying P = -16
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