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Simplifying -30 + 5p = -1(4p + 3) Reorder the terms: -30 + 5p = -1(3 + 4p) -30 + 5p = (3 * -1 + 4p * -1) -30 + 5p = (-3 + -4p) Solving -30 + 5p = -3 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. -30 + 5p + 4p = -3 + -4p + 4p Combine like terms: 5p + 4p = 9p -30 + 9p = -3 + -4p + 4p Combine like terms: -4p + 4p = 0 -30 + 9p = -3 + 0 -30 + 9p = -3 Add '30' to each side of the equation. -30 + 30 + 9p = -3 + 30 Combine like terms: -30 + 30 = 0 0 + 9p = -3 + 30 9p = -3 + 30 Combine like terms: -3 + 30 = 27 9p = 27 Divide each side by '9'. p = 3 Simplifying p = 3
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