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Simplifying -5p + 7(3p + 4) = 6(8 + 6p) Reorder the terms: -5p + 7(4 + 3p) = 6(8 + 6p) -5p + (4 * 7 + 3p * 7) = 6(8 + 6p) -5p + (28 + 21p) = 6(8 + 6p) Reorder the terms: 28 + -5p + 21p = 6(8 + 6p) Combine like terms: -5p + 21p = 16p 28 + 16p = 6(8 + 6p) 28 + 16p = (8 * 6 + 6p * 6) 28 + 16p = (48 + 36p) Solving 28 + 16p = 48 + 36p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-36p' to each side of the equation. 28 + 16p + -36p = 48 + 36p + -36p Combine like terms: 16p + -36p = -20p 28 + -20p = 48 + 36p + -36p Combine like terms: 36p + -36p = 0 28 + -20p = 48 + 0 28 + -20p = 48 Add '-28' to each side of the equation. 28 + -28 + -20p = 48 + -28 Combine like terms: 28 + -28 = 0 0 + -20p = 48 + -28 -20p = 48 + -28 Combine like terms: 48 + -28 = 20 -20p = 20 Divide each side by '-20'. p = -1 Simplifying p = -1
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