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Simplifying 3.5(p + -6) = 3.7p + 6.9 Reorder the terms: 3.5(-6 + p) = 3.7p + 6.9 (-6 * 3.5 + p * 3.5) = 3.7p + 6.9 (-21 + 3.5p) = 3.7p + 6.9 Reorder the terms: -21 + 3.5p = 6.9 + 3.7p Solving -21 + 3.5p = 6.9 + 3.7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3.7p' to each side of the equation. -21 + 3.5p + -3.7p = 6.9 + 3.7p + -3.7p Combine like terms: 3.5p + -3.7p = -0.2p -21 + -0.2p = 6.9 + 3.7p + -3.7p Combine like terms: 3.7p + -3.7p = 0.0 -21 + -0.2p = 6.9 + 0.0 -21 + -0.2p = 6.9 Add '21' to each side of the equation. -21 + 21 + -0.2p = 6.9 + 21 Combine like terms: -21 + 21 = 0 0 + -0.2p = 6.9 + 21 -0.2p = 6.9 + 21 Combine like terms: 6.9 + 21 = 27.9 -0.2p = 27.9 Divide each side by '-0.2'. p = -139.5 Simplifying p = -139.5
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