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Simplifying -5.3(4p + 6) + -2.9(3p + -5) = 0 Reorder the terms: -5.3(6 + 4p) + -2.9(3p + -5) = 0 (6 * -5.3 + 4p * -5.3) + -2.9(3p + -5) = 0 (-31.8 + -21.2p) + -2.9(3p + -5) = 0 Reorder the terms: -31.8 + -21.2p + -2.9(-5 + 3p) = 0 -31.8 + -21.2p + (-5 * -2.9 + 3p * -2.9) = 0 -31.8 + -21.2p + (14.5 + -8.7p) = 0 Reorder the terms: -31.8 + 14.5 + -21.2p + -8.7p = 0 Combine like terms: -31.8 + 14.5 = -17.3 -17.3 + -21.2p + -8.7p = 0 Combine like terms: -21.2p + -8.7p = -29.9p -17.3 + -29.9p = 0 Solving -17.3 + -29.9p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '17.3' to each side of the equation. -17.3 + 17.3 + -29.9p = 0 + 17.3 Combine like terms: -17.3 + 17.3 = 0.0 0.0 + -29.9p = 0 + 17.3 -29.9p = 0 + 17.3 Combine like terms: 0 + 17.3 = 17.3 -29.9p = 17.3 Divide each side by '-29.9'. p = -0.5785953177 Simplifying p = -0.5785953177
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