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Simplifying 5(p + -2) + 3 = -14 + 6p Reorder the terms: 5(-2 + p) + 3 = -14 + 6p (-2 * 5 + p * 5) + 3 = -14 + 6p (-10 + 5p) + 3 = -14 + 6p Reorder the terms: -10 + 3 + 5p = -14 + 6p Combine like terms: -10 + 3 = -7 -7 + 5p = -14 + 6p Solving -7 + 5p = -14 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -7 + 5p + -6p = -14 + 6p + -6p Combine like terms: 5p + -6p = -1p -7 + -1p = -14 + 6p + -6p Combine like terms: 6p + -6p = 0 -7 + -1p = -14 + 0 -7 + -1p = -14 Add '7' to each side of the equation. -7 + 7 + -1p = -14 + 7 Combine like terms: -7 + 7 = 0 0 + -1p = -14 + 7 -1p = -14 + 7 Combine like terms: -14 + 7 = -7 -1p = -7 Divide each side by '-1'. p = 7 Simplifying p = 7
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