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Simplifying 6(p + 0.4) = 5(p + -12) Reorder the terms: 6(0.4 + p) = 5(p + -12) (0.4 * 6 + p * 6) = 5(p + -12) (2.4 + 6p) = 5(p + -12) Reorder the terms: 2.4 + 6p = 5(-12 + p) 2.4 + 6p = (-12 * 5 + p * 5) 2.4 + 6p = (-60 + 5p) Solving 2.4 + 6p = -60 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 2.4 + 6p + -5p = -60 + 5p + -5p Combine like terms: 6p + -5p = 1p 2.4 + 1p = -60 + 5p + -5p Combine like terms: 5p + -5p = 0 2.4 + 1p = -60 + 0 2.4 + 1p = -60 Add '-2.4' to each side of the equation. 2.4 + -2.4 + 1p = -60 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 1p = -60 + -2.4 1p = -60 + -2.4 Combine like terms: -60 + -2.4 = -62.4 1p = -62.4 Divide each side by '1'. p = -62.4 Simplifying p = -62.4
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