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Simplifying -5(4p + -6) = -1(6p + 1) + 3 Reorder the terms: -5(-6 + 4p) = -1(6p + 1) + 3 (-6 * -5 + 4p * -5) = -1(6p + 1) + 3 (30 + -20p) = -1(6p + 1) + 3 Reorder the terms: 30 + -20p = -1(1 + 6p) + 3 30 + -20p = (1 * -1 + 6p * -1) + 3 30 + -20p = (-1 + -6p) + 3 Reorder the terms: 30 + -20p = -1 + 3 + -6p Combine like terms: -1 + 3 = 2 30 + -20p = 2 + -6p Solving 30 + -20p = 2 + -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. 30 + -20p + 6p = 2 + -6p + 6p Combine like terms: -20p + 6p = -14p 30 + -14p = 2 + -6p + 6p Combine like terms: -6p + 6p = 0 30 + -14p = 2 + 0 30 + -14p = 2 Add '-30' to each side of the equation. 30 + -30 + -14p = 2 + -30 Combine like terms: 30 + -30 = 0 0 + -14p = 2 + -30 -14p = 2 + -30 Combine like terms: 2 + -30 = -28 -14p = -28 Divide each side by '-14'. p = 2 Simplifying p = 2
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