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Simplifying -6.9 + 30.9p = -3.8(-8p + 2) Reorder the terms: -6.9 + 30.9p = -3.8(2 + -8p) -6.9 + 30.9p = (2 * -3.8 + -8p * -3.8) -6.9 + 30.9p = (-7.6 + 30.4p) Solving -6.9 + 30.9p = -7.6 + 30.4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-30.4p' to each side of the equation. -6.9 + 30.9p + -30.4p = -7.6 + 30.4p + -30.4p Combine like terms: 30.9p + -30.4p = 0.5p -6.9 + 0.5p = -7.6 + 30.4p + -30.4p Combine like terms: 30.4p + -30.4p = 0.0 -6.9 + 0.5p = -7.6 + 0.0 -6.9 + 0.5p = -7.6 Add '6.9' to each side of the equation. -6.9 + 6.9 + 0.5p = -7.6 + 6.9 Combine like terms: -6.9 + 6.9 = 0.0 0.0 + 0.5p = -7.6 + 6.9 0.5p = -7.6 + 6.9 Combine like terms: -7.6 + 6.9 = -0.7 0.5p = -0.7 Divide each side by '0.5'. p = -1.4 Simplifying p = -1.4
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