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Simplifying 0.375(p + -8) + 0.125p = -0.5(p + -7) Reorder the terms: 0.375(-8 + p) + 0.125p = -0.5(p + -7) (-8 * 0.375 + p * 0.375) + 0.125p = -0.5(p + -7) (-3 + 0.375p) + 0.125p = -0.5(p + -7) Combine like terms: 0.375p + 0.125p = 0.5p -3 + 0.5p = -0.5(p + -7) Reorder the terms: -3 + 0.5p = -0.5(-7 + p) -3 + 0.5p = (-7 * -0.5 + p * -0.5) -3 + 0.5p = (3.5 + -0.5p) Solving -3 + 0.5p = 3.5 + -0.5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '0.5p' to each side of the equation. -3 + 0.5p + 0.5p = 3.5 + -0.5p + 0.5p Combine like terms: 0.5p + 0.5p = 1p -3 + 1p = 3.5 + -0.5p + 0.5p Combine like terms: -0.5p + 0.5p = 0.0 -3 + 1p = 3.5 + 0.0 -3 + 1p = 3.5 Add '3' to each side of the equation. -3 + 3 + 1p = 3.5 + 3 Combine like terms: -3 + 3 = 0 0 + 1p = 3.5 + 3 1p = 3.5 + 3 Combine like terms: 3.5 + 3 = 6.5 1p = 6.5 Divide each side by '1'. p = 6.5 Simplifying p = 6.5
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