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Simplifying 3 + -1p + -2(-2 + -5p) = 2(p + -6) + -47 3 + -1p + (-2 * -2 + -5p * -2) = 2(p + -6) + -47 3 + -1p + (4 + 10p) = 2(p + -6) + -47 Reorder the terms: 3 + 4 + -1p + 10p = 2(p + -6) + -47 Combine like terms: 3 + 4 = 7 7 + -1p + 10p = 2(p + -6) + -47 Combine like terms: -1p + 10p = 9p 7 + 9p = 2(p + -6) + -47 Reorder the terms: 7 + 9p = 2(-6 + p) + -47 7 + 9p = (-6 * 2 + p * 2) + -47 7 + 9p = (-12 + 2p) + -47 Reorder the terms: 7 + 9p = -12 + -47 + 2p Combine like terms: -12 + -47 = -59 7 + 9p = -59 + 2p Solving 7 + 9p = -59 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 7 + 9p + -2p = -59 + 2p + -2p Combine like terms: 9p + -2p = 7p 7 + 7p = -59 + 2p + -2p Combine like terms: 2p + -2p = 0 7 + 7p = -59 + 0 7 + 7p = -59 Add '-7' to each side of the equation. 7 + -7 + 7p = -59 + -7 Combine like terms: 7 + -7 = 0 0 + 7p = -59 + -7 7p = -59 + -7 Combine like terms: -59 + -7 = -66 7p = -66 Divide each side by '7'. p = -9.428571429 Simplifying p = -9.428571429
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