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Simplifying p + -1(p + 14) = 7(p + -2) + 4 Reorder the terms: p + -1(14 + p) = 7(p + -2) + 4 p + (14 * -1 + p * -1) = 7(p + -2) + 4 p + (-14 + -1p) = 7(p + -2) + 4 Reorder the terms: -14 + p + -1p = 7(p + -2) + 4 Combine like terms: p + -1p = 0 -14 + 0 = 7(p + -2) + 4 -14 = 7(p + -2) + 4 Reorder the terms: -14 = 7(-2 + p) + 4 -14 = (-2 * 7 + p * 7) + 4 -14 = (-14 + 7p) + 4 Reorder the terms: -14 = -14 + 4 + 7p Combine like terms: -14 + 4 = -10 -14 = -10 + 7p Solving -14 = -10 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -14 + -7p = -10 + 7p + -7p Combine like terms: 7p + -7p = 0 -14 + -7p = -10 + 0 -14 + -7p = -10 Add '14' to each side of the equation. -14 + 14 + -7p = -10 + 14 Combine like terms: -14 + 14 = 0 0 + -7p = -10 + 14 -7p = -10 + 14 Combine like terms: -10 + 14 = 4 -7p = 4 Divide each side by '-7'. p = -0.5714285714 Simplifying p = -0.5714285714
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