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Simplifying -5.3(2p + 6) + -2.1(3p + -5) = 0 Reorder the terms: -5.3(6 + 2p) + -2.1(3p + -5) = 0 (6 * -5.3 + 2p * -5.3) + -2.1(3p + -5) = 0 (-31.8 + -10.6p) + -2.1(3p + -5) = 0 Reorder the terms: -31.8 + -10.6p + -2.1(-5 + 3p) = 0 -31.8 + -10.6p + (-5 * -2.1 + 3p * -2.1) = 0 -31.8 + -10.6p + (10.5 + -6.3p) = 0 Reorder the terms: -31.8 + 10.5 + -10.6p + -6.3p = 0 Combine like terms: -31.8 + 10.5 = -21.3 -21.3 + -10.6p + -6.3p = 0 Combine like terms: -10.6p + -6.3p = -16.9p -21.3 + -16.9p = 0 Solving -21.3 + -16.9p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '21.3' to each side of the equation. -21.3 + 21.3 + -16.9p = 0 + 21.3 Combine like terms: -21.3 + 21.3 = 0.0 0.0 + -16.9p = 0 + 21.3 -16.9p = 0 + 21.3 Combine like terms: 0 + 21.3 = 21.3 -16.9p = 21.3 Divide each side by '-16.9'. p = -1.26035503 Simplifying p = -1.26035503
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