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Simplifying -5.4(2p + 6) + -1.4(3p + -5) = 0 Reorder the terms: -5.4(6 + 2p) + -1.4(3p + -5) = 0 (6 * -5.4 + 2p * -5.4) + -1.4(3p + -5) = 0 (-32.4 + -10.8p) + -1.4(3p + -5) = 0 Reorder the terms: -32.4 + -10.8p + -1.4(-5 + 3p) = 0 -32.4 + -10.8p + (-5 * -1.4 + 3p * -1.4) = 0 -32.4 + -10.8p + (7 + -4.2p) = 0 Reorder the terms: -32.4 + 7 + -10.8p + -4.2p = 0 Combine like terms: -32.4 + 7 = -25.4 -25.4 + -10.8p + -4.2p = 0 Combine like terms: -10.8p + -4.2p = -15p -25.4 + -15p = 0 Solving -25.4 + -15p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '25.4' to each side of the equation. -25.4 + 25.4 + -15p = 0 + 25.4 Combine like terms: -25.4 + 25.4 = 0.0 0.0 + -15p = 0 + 25.4 -15p = 0 + 25.4 Combine like terms: 0 + 25.4 = 25.4 -15p = 25.4 Divide each side by '-15'. p = -1.693333333 Simplifying p = -1.693333333
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