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Simplifying -5.7(2p + 4) + -1.2(3p + -6) = 0 Reorder the terms: -5.7(4 + 2p) + -1.2(3p + -6) = 0 (4 * -5.7 + 2p * -5.7) + -1.2(3p + -6) = 0 (-22.8 + -11.4p) + -1.2(3p + -6) = 0 Reorder the terms: -22.8 + -11.4p + -1.2(-6 + 3p) = 0 -22.8 + -11.4p + (-6 * -1.2 + 3p * -1.2) = 0 -22.8 + -11.4p + (7.2 + -3.6p) = 0 Reorder the terms: -22.8 + 7.2 + -11.4p + -3.6p = 0 Combine like terms: -22.8 + 7.2 = -15.6 -15.6 + -11.4p + -3.6p = 0 Combine like terms: -11.4p + -3.6p = -15p -15.6 + -15p = 0 Solving -15.6 + -15p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '15.6' to each side of the equation. -15.6 + 15.6 + -15p = 0 + 15.6 Combine like terms: -15.6 + 15.6 = 0.0 0.0 + -15p = 0 + 15.6 -15p = 0 + 15.6 Combine like terms: 0 + 15.6 = 15.6 -15p = 15.6 Divide each side by '-15'. p = -1.04 Simplifying p = -1.04
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