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Simplifying 0.5(p + -4) = -9 + p Reorder the terms: 0.5(-4 + p) = -9 + p (-4 * 0.5 + p * 0.5) = -9 + p (-2 + 0.5p) = -9 + p Solving -2 + 0.5p = -9 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -2 + 0.5p + -1p = -9 + p + -1p Combine like terms: 0.5p + -1p = -0.5p -2 + -0.5p = -9 + p + -1p Combine like terms: p + -1p = 0 -2 + -0.5p = -9 + 0 -2 + -0.5p = -9 Add '2' to each side of the equation. -2 + 2 + -0.5p = -9 + 2 Combine like terms: -2 + 2 = 0 0 + -0.5p = -9 + 2 -0.5p = -9 + 2 Combine like terms: -9 + 2 = -7 -0.5p = -7 Divide each side by '-0.5'. p = 14 Simplifying p = 14
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