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Simplifying 14 + -1(0.5p) = (0.25p) + -1 Remove parenthesis around (0.5p) 14 + -1 * 0.5p = (0.25p) + -1 Multiply -1 * 0.5 14 + -0.5p = (0.25p) + -1 Reorder the terms: 14 + -0.5p = -1 + (0.25p) Solving 14 + -0.5p = -1 + (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) = -1 + (0.25p) + (-0.25p) Combine like terms: -0.5p + (-0.25p) = -0.75p 14 + -0.75p = -1 + (0.25p) + (-0.25p) Combine like terms: (0.25p) + (-0.25p) = 0.00 14 + -0.75p = -1 + 0.00 14 + -0.75p = -1 Add '-14' to each side of the equation. 14 + -14 + -0.75p = -1 + -14 Combine like terms: 14 + -14 = 0 0 + -0.75p = -1 + -14 -0.75p = -1 + -14 Combine like terms: -1 + -14 = -15 -0.75p = -15 Divide each side by '-0.75'. p = 20 Simplifying p = 20
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