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Simplifying 14 + -1(0.5) * p = (0.25) * p + -13 Multiply -1 * 0.5 14 + -0.5p = (0.25) * p + -13 Reorder the terms: 14 + -0.5p = -13 + 0.25p Solving 14 + -0.5p = -13 + 0.25p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.25p' to each side of the equation. 14 + -0.5p + -0.25p = -13 + 0.25p + -0.25p Combine like terms: -0.5p + -0.25p = -0.75p 14 + -0.75p = -13 + 0.25p + -0.25p Combine like terms: 0.25p + -0.25p = 0.00 14 + -0.75p = -13 + 0.00 14 + -0.75p = -13 Add '-14' to each side of the equation. 14 + -14 + -0.75p = -13 + -14 Combine like terms: 14 + -14 = 0 0 + -0.75p = -13 + -14 -0.75p = -13 + -14 Combine like terms: -13 + -14 = -27 -0.75p = -27 Divide each side by '-0.75'. p = 36 Simplifying p = 36
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