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Simplifying -6.1(4p + 6) + -2.1(3p + -5) = 0 Reorder the terms: -6.1(6 + 4p) + -2.1(3p + -5) = 0 (6 * -6.1 + 4p * -6.1) + -2.1(3p + -5) = 0 (-36.6 + -24.4p) + -2.1(3p + -5) = 0 Reorder the terms: -36.6 + -24.4p + -2.1(-5 + 3p) = 0 -36.6 + -24.4p + (-5 * -2.1 + 3p * -2.1) = 0 -36.6 + -24.4p + (10.5 + -6.3p) = 0 Reorder the terms: -36.6 + 10.5 + -24.4p + -6.3p = 0 Combine like terms: -36.6 + 10.5 = -26.1 -26.1 + -24.4p + -6.3p = 0 Combine like terms: -24.4p + -6.3p = -30.7p -26.1 + -30.7p = 0 Solving -26.1 + -30.7p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '26.1' to each side of the equation. -26.1 + 26.1 + -30.7p = 0 + 26.1 Combine like terms: -26.1 + 26.1 = 0.0 0.0 + -30.7p = 0 + 26.1 -30.7p = 0 + 26.1 Combine like terms: 0 + 26.1 = 26.1 -30.7p = 26.1 Divide each side by '-30.7'. p = -0.8501628664 Simplifying p = -0.8501628664
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