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Simplifying 0.3(p + -2) + -0.6 = 5 + -0.6p Reorder the terms: 0.3(-2 + p) + -0.6 = 5 + -0.6p (-2 * 0.3 + p * 0.3) + -0.6 = 5 + -0.6p (-0.6 + 0.3p) + -0.6 = 5 + -0.6p Reorder the terms: -0.6 + -0.6 + 0.3p = 5 + -0.6p Combine like terms: -0.6 + -0.6 = -1.2 -1.2 + 0.3p = 5 + -0.6p Solving -1.2 + 0.3p = 5 + -0.6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '0.6p' to each side of the equation. -1.2 + 0.3p + 0.6p = 5 + -0.6p + 0.6p Combine like terms: 0.3p + 0.6p = 0.9p -1.2 + 0.9p = 5 + -0.6p + 0.6p Combine like terms: -0.6p + 0.6p = 0.0 -1.2 + 0.9p = 5 + 0.0 -1.2 + 0.9p = 5 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.9p = 5 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.9p = 5 + 1.2 0.9p = 5 + 1.2 Combine like terms: 5 + 1.2 = 6.2 0.9p = 6.2 Divide each side by '0.9'. p = 6.888888889 Simplifying p = 6.888888889
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