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Simplifying -6.7(2p + 6) + -2.7(3p + -5) = 0 Reorder the terms: -6.7(6 + 2p) + -2.7(3p + -5) = 0 (6 * -6.7 + 2p * -6.7) + -2.7(3p + -5) = 0 (-40.2 + -13.4p) + -2.7(3p + -5) = 0 Reorder the terms: -40.2 + -13.4p + -2.7(-5 + 3p) = 0 -40.2 + -13.4p + (-5 * -2.7 + 3p * -2.7) = 0 -40.2 + -13.4p + (13.5 + -8.1p) = 0 Reorder the terms: -40.2 + 13.5 + -13.4p + -8.1p = 0 Combine like terms: -40.2 + 13.5 = -26.7 -26.7 + -13.4p + -8.1p = 0 Combine like terms: -13.4p + -8.1p = -21.5p -26.7 + -21.5p = 0 Solving -26.7 + -21.5p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '26.7' to each side of the equation. -26.7 + 26.7 + -21.5p = 0 + 26.7 Combine like terms: -26.7 + 26.7 = 0.0 0.0 + -21.5p = 0 + 26.7 -21.5p = 0 + 26.7 Combine like terms: 0 + 26.7 = 26.7 -21.5p = 26.7 Divide each side by '-21.5'. p = -1.241860465 Simplifying p = -1.241860465
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