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Simplifying 14(14 + -7p) + -2 = -2(0.5p + 3) + 6 (14 * 14 + -7p * 14) + -2 = -2(0.5p + 3) + 6 (196 + -98p) + -2 = -2(0.5p + 3) + 6 Reorder the terms: 196 + -2 + -98p = -2(0.5p + 3) + 6 Combine like terms: 196 + -2 = 194 194 + -98p = -2(0.5p + 3) + 6 Reorder the terms: 194 + -98p = -2(3 + 0.5p) + 6 194 + -98p = (3 * -2 + 0.5p * -2) + 6 194 + -98p = (-6 + -1p) + 6 Reorder the terms: 194 + -98p = -6 + 6 + -1p Combine like terms: -6 + 6 = 0 194 + -98p = 0 + -1p 194 + -98p = -1p Solving 194 + -98p = -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. 194 + -98p + p = -1p + p Combine like terms: -98p + p = -97p 194 + -97p = -1p + p Combine like terms: -1p + p = 0 194 + -97p = 0 Add '-194' to each side of the equation. 194 + -194 + -97p = 0 + -194 Combine like terms: 194 + -194 = 0 0 + -97p = 0 + -194 -97p = 0 + -194 Combine like terms: 0 + -194 = -194 -97p = -194 Divide each side by '-97'. p = 2 Simplifying p = 2
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