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Simplifying 2.1(-4p + 1) + 2.8p = 0 Reorder the terms: 2.1(1 + -4p) + 2.8p = 0 (1 * 2.1 + -4p * 2.1) + 2.8p = 0 (2.1 + -8.4p) + 2.8p = 0 Combine like terms: -8.4p + 2.8p = -5.6p 2.1 + -5.6p = 0 Solving 2.1 + -5.6p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2.1' to each side of the equation. 2.1 + -2.1 + -5.6p = 0 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + -5.6p = 0 + -2.1 -5.6p = 0 + -2.1 Combine like terms: 0 + -2.1 = -2.1 -5.6p = -2.1 Divide each side by '-5.6'. p = 0.375 Simplifying p = 0.375
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