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Simplifying 4(4p + 2) + -36 = 3(5p + 6) Reorder the terms: 4(2 + 4p) + -36 = 3(5p + 6) (2 * 4 + 4p * 4) + -36 = 3(5p + 6) (8 + 16p) + -36 = 3(5p + 6) Reorder the terms: 8 + -36 + 16p = 3(5p + 6) Combine like terms: 8 + -36 = -28 -28 + 16p = 3(5p + 6) Reorder the terms: -28 + 16p = 3(6 + 5p) -28 + 16p = (6 * 3 + 5p * 3) -28 + 16p = (18 + 15p) Solving -28 + 16p = 18 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -28 + 16p + -15p = 18 + 15p + -15p Combine like terms: 16p + -15p = 1p -28 + 1p = 18 + 15p + -15p Combine like terms: 15p + -15p = 0 -28 + 1p = 18 + 0 -28 + 1p = 18 Add '28' to each side of the equation. -28 + 28 + 1p = 18 + 28 Combine like terms: -28 + 28 = 0 0 + 1p = 18 + 28 1p = 18 + 28 Combine like terms: 18 + 28 = 46 1p = 46 Divide each side by '1'. p = 46 Simplifying p = 46
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