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Simplifying 1.5(p + -6) = 1.7p + 6.9 Reorder the terms: 1.5(-6 + p) = 1.7p + 6.9 (-6 * 1.5 + p * 1.5) = 1.7p + 6.9 (-9 + 1.5p) = 1.7p + 6.9 Reorder the terms: -9 + 1.5p = 6.9 + 1.7p Solving -9 + 1.5p = 6.9 + 1.7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1.7p' to each side of the equation. -9 + 1.5p + -1.7p = 6.9 + 1.7p + -1.7p Combine like terms: 1.5p + -1.7p = -0.2p -9 + -0.2p = 6.9 + 1.7p + -1.7p Combine like terms: 1.7p + -1.7p = 0.0 -9 + -0.2p = 6.9 + 0.0 -9 + -0.2p = 6.9 Add '9' to each side of the equation. -9 + 9 + -0.2p = 6.9 + 9 Combine like terms: -9 + 9 = 0 0 + -0.2p = 6.9 + 9 -0.2p = 6.9 + 9 Combine like terms: 6.9 + 9 = 15.9 -0.2p = 15.9 Divide each side by '-0.2'. p = -79.5 Simplifying p = -79.5
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