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Simplifying 0.25(14 + -7p) + -2 = -2(0.5p + 3) + 6 (14 * 0.25 + -7p * 0.25) + -2 = -2(0.5p + 3) + 6 (3.5 + -1.75p) + -2 = -2(0.5p + 3) + 6 Reorder the terms: 3.5 + -2 + -1.75p = -2(0.5p + 3) + 6 Combine like terms: 3.5 + -2 = 1.5 1.5 + -1.75p = -2(0.5p + 3) + 6 Reorder the terms: 1.5 + -1.75p = -2(3 + 0.5p) + 6 1.5 + -1.75p = (3 * -2 + 0.5p * -2) + 6 1.5 + -1.75p = (-6 + -1p) + 6 Reorder the terms: 1.5 + -1.75p = -6 + 6 + -1p Combine like terms: -6 + 6 = 0 1.5 + -1.75p = 0 + -1p 1.5 + -1.75p = -1p Solving 1.5 + -1.75p = -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. 1.5 + -1.75p + p = -1p + p Combine like terms: -1.75p + p = -0.75p 1.5 + -0.75p = -1p + p Combine like terms: -1p + p = 0 1.5 + -0.75p = 0 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -0.75p = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -0.75p = 0 + -1.5 -0.75p = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 -0.75p = -1.5 Divide each side by '-0.75'. p = 2 Simplifying p = 2
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