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Simplifying -3p + -2(-2 + -5p) = 2(p + -6) + -47 -3p + (-2 * -2 + -5p * -2) = 2(p + -6) + -47 -3p + (4 + 10p) = 2(p + -6) + -47 Reorder the terms: 4 + -3p + 10p = 2(p + -6) + -47 Combine like terms: -3p + 10p = 7p 4 + 7p = 2(p + -6) + -47 Reorder the terms: 4 + 7p = 2(-6 + p) + -47 4 + 7p = (-6 * 2 + p * 2) + -47 4 + 7p = (-12 + 2p) + -47 Reorder the terms: 4 + 7p = -12 + -47 + 2p Combine like terms: -12 + -47 = -59 4 + 7p = -59 + 2p Solving 4 + 7p = -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. 4 + 7p + -2p = -59 + 2p + -2p Combine like terms: 7p + -2p = 5p 4 + 5p = -59 + 2p + -2p Combine like terms: 2p + -2p = 0 4 + 5p = -59 + 0 4 + 5p = -59 Add '-4' to each side of the equation. 4 + -4 + 5p = -59 + -4 Combine like terms: 4 + -4 = 0 0 + 5p = -59 + -4 5p = -59 + -4 Combine like terms: -59 + -4 = -63 5p = -63 Divide each side by '5'. p = -12.6 Simplifying p = -12.6
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