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Simplifying 5(P + 4) + -2(3p + 2) = 19 Reorder the terms: 5(4 + P) + -2(3p + 2) = 19 (4 * 5 + P * 5) + -2(3p + 2) = 19 (20 + 5P) + -2(3p + 2) = 19 Reorder the terms: 20 + 5P + -2(2 + 3p) = 19 20 + 5P + (2 * -2 + 3p * -2) = 19 20 + 5P + (-4 + -6p) = 19 Reorder the terms: 20 + -4 + 5P + -6p = 19 Combine like terms: 20 + -4 = 16 16 + 5P + -6p = 19 Solving 16 + 5P + -6p = 19 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 + 5P + -16 + -6p = 19 + -16 Reorder the terms: 16 + -16 + 5P + -6p = 19 + -16 Combine like terms: 16 + -16 = 0 0 + 5P + -6p = 19 + -16 5P + -6p = 19 + -16 Combine like terms: 19 + -16 = 3 5P + -6p = 3 Add '6p' to each side of the equation. 5P + -6p + 6p = 3 + 6p Combine like terms: -6p + 6p = 0 5P + 0 = 3 + 6p 5P = 3 + 6p Divide each side by '5'. P = 0.6 + 1.2p Simplifying P = 0.6 + 1.2p
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