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Simplifying 7 = 2(-5p + 4) + -3(1 + -3p) Reorder the terms: 7 = 2(4 + -5p) + -3(1 + -3p) 7 = (4 * 2 + -5p * 2) + -3(1 + -3p) 7 = (8 + -10p) + -3(1 + -3p) 7 = 8 + -10p + (1 * -3 + -3p * -3) 7 = 8 + -10p + (-3 + 9p) Reorder the terms: 7 = 8 + -3 + -10p + 9p Combine like terms: 8 + -3 = 5 7 = 5 + -10p + 9p Combine like terms: -10p + 9p = -1p 7 = 5 + -1p Solving 7 = 5 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. 7 + p = 5 + -1p + p Combine like terms: -1p + p = 0 7 + p = 5 + 0 7 + p = 5 Add '-7' to each side of the equation. 7 + -7 + p = 5 + -7 Combine like terms: 7 + -7 = 0 0 + p = 5 + -7 p = 5 + -7 Combine like terms: 5 + -7 = -2 p = -2 Simplifying p = -2
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