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Simplifying 0.2(p + 4) + -0.7(p + 2) = -3 Reorder the terms: 0.2(4 + p) + -0.7(p + 2) = -3 (4 * 0.2 + p * 0.2) + -0.7(p + 2) = -3 (0.8 + 0.2p) + -0.7(p + 2) = -3 Reorder the terms: 0.8 + 0.2p + -0.7(2 + p) = -3 0.8 + 0.2p + (2 * -0.7 + p * -0.7) = -3 0.8 + 0.2p + (-1.4 + -0.7p) = -3 Reorder the terms: 0.8 + -1.4 + 0.2p + -0.7p = -3 Combine like terms: 0.8 + -1.4 = -0.6 -0.6 + 0.2p + -0.7p = -3 Combine like terms: 0.2p + -0.7p = -0.5p -0.6 + -0.5p = -3 Solving -0.6 + -0.5p = -3 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '0.6' to each side of the equation. -0.6 + 0.6 + -0.5p = -3 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + -0.5p = -3 + 0.6 -0.5p = -3 + 0.6 Combine like terms: -3 + 0.6 = -2.4 -0.5p = -2.4 Divide each side by '-0.5'. p = 4.8 Simplifying p = 4.8
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