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Simplifying 0.3(p + -2) = 5 + 0 + -6p Reorder the terms: 0.3(-2 + p) = 5 + 0 + -6p (-2 * 0.3 + p * 0.3) = 5 + 0 + -6p (-0.6 + 0.3p) = 5 + 0 + -6p Combine like terms: 5 + 0 = 5 -0.6 + 0.3p = 5 + -6p Solving -0.6 + 0.3p = 5 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. -0.6 + 0.3p + 6p = 5 + -6p + 6p Combine like terms: 0.3p + 6p = 6.3p -0.6 + 6.3p = 5 + -6p + 6p Combine like terms: -6p + 6p = 0 -0.6 + 6.3p = 5 + 0 -0.6 + 6.3p = 5 Add '0.6' to each side of the equation. -0.6 + 0.6 + 6.3p = 5 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 6.3p = 5 + 0.6 6.3p = 5 + 0.6 Combine like terms: 5 + 0.6 = 5.6 6.3p = 5.6 Divide each side by '6.3'. p = 0.8888888889 Simplifying p = 0.8888888889
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