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Simplifying 2.5(p + -4) = 3(p + 2) Reorder the terms: 2.5(-4 + p) = 3(p + 2) (-4 * 2.5 + p * 2.5) = 3(p + 2) (-10 + 2.5p) = 3(p + 2) Reorder the terms: -10 + 2.5p = 3(2 + p) -10 + 2.5p = (2 * 3 + p * 3) -10 + 2.5p = (6 + 3p) Solving -10 + 2.5p = 6 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -10 + 2.5p + -3p = 6 + 3p + -3p Combine like terms: 2.5p + -3p = -0.5p -10 + -0.5p = 6 + 3p + -3p Combine like terms: 3p + -3p = 0 -10 + -0.5p = 6 + 0 -10 + -0.5p = 6 Add '10' to each side of the equation. -10 + 10 + -0.5p = 6 + 10 Combine like terms: -10 + 10 = 0 0 + -0.5p = 6 + 10 -0.5p = 6 + 10 Combine like terms: 6 + 10 = 16 -0.5p = 16 Divide each side by '-0.5'. p = -32 Simplifying p = -32
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