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Simplifying 49 + 25 = 6(p + -3) + -3(4 + -3p) Combine like terms: 49 + 25 = 74 74 = 6(p + -3) + -3(4 + -3p) Reorder the terms: 74 = 6(-3 + p) + -3(4 + -3p) 74 = (-3 * 6 + p * 6) + -3(4 + -3p) 74 = (-18 + 6p) + -3(4 + -3p) 74 = -18 + 6p + (4 * -3 + -3p * -3) 74 = -18 + 6p + (-12 + 9p) Reorder the terms: 74 = -18 + -12 + 6p + 9p Combine like terms: -18 + -12 = -30 74 = -30 + 6p + 9p Combine like terms: 6p + 9p = 15p 74 = -30 + 15p Solving 74 = -30 + 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. 74 + -15p = -30 + 15p + -15p Combine like terms: 15p + -15p = 0 74 + -15p = -30 + 0 74 + -15p = -30 Add '-74' to each side of the equation. 74 + -74 + -15p = -30 + -74 Combine like terms: 74 + -74 = 0 0 + -15p = -30 + -74 -15p = -30 + -74 Combine like terms: -30 + -74 = -104 -15p = -104 Divide each side by '-15'. p = 6.933333333 Simplifying p = 6.933333333
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