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Simplifying 2(3p + 1) = 5(p + -2) Reorder the terms: 2(1 + 3p) = 5(p + -2) (1 * 2 + 3p * 2) = 5(p + -2) (2 + 6p) = 5(p + -2) Reorder the terms: 2 + 6p = 5(-2 + p) 2 + 6p = (-2 * 5 + p * 5) 2 + 6p = (-10 + 5p) Solving 2 + 6p = -10 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 2 + 6p + -5p = -10 + 5p + -5p Combine like terms: 6p + -5p = 1p 2 + 1p = -10 + 5p + -5p Combine like terms: 5p + -5p = 0 2 + 1p = -10 + 0 2 + 1p = -10 Add '-2' to each side of the equation. 2 + -2 + 1p = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 1p = -10 + -2 1p = -10 + -2 Combine like terms: -10 + -2 = -12 1p = -12 Divide each side by '1'. p = -12 Simplifying p = -12
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