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Simplifying 74 = 3(p + -2) + 2(1 + 5p) Reorder the terms: 74 = 3(-2 + p) + 2(1 + 5p) 74 = (-2 * 3 + p * 3) + 2(1 + 5p) 74 = (-6 + 3p) + 2(1 + 5p) 74 = -6 + 3p + (1 * 2 + 5p * 2) 74 = -6 + 3p + (2 + 10p) Reorder the terms: 74 = -6 + 2 + 3p + 10p Combine like terms: -6 + 2 = -4 74 = -4 + 3p + 10p Combine like terms: 3p + 10p = 13p 74 = -4 + 13p Solving 74 = -4 + 13p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-13p' to each side of the equation. 74 + -13p = -4 + 13p + -13p Combine like terms: 13p + -13p = 0 74 + -13p = -4 + 0 74 + -13p = -4 Add '-74' to each side of the equation. 74 + -74 + -13p = -4 + -74 Combine like terms: 74 + -74 = 0 0 + -13p = -4 + -74 -13p = -4 + -74 Combine like terms: -4 + -74 = -78 -13p = -78 Divide each side by '-13'. p = 6 Simplifying p = 6
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