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Simplifying 5p + -3(2 + -2p) = 6(p + -4) + -47 5p + (2 * -3 + -2p * -3) = 6(p + -4) + -47 5p + (-6 + 6p) = 6(p + -4) + -47 Reorder the terms: -6 + 5p + 6p = 6(p + -4) + -47 Combine like terms: 5p + 6p = 11p -6 + 11p = 6(p + -4) + -47 Reorder the terms: -6 + 11p = 6(-4 + p) + -47 -6 + 11p = (-4 * 6 + p * 6) + -47 -6 + 11p = (-24 + 6p) + -47 Reorder the terms: -6 + 11p = -24 + -47 + 6p Combine like terms: -24 + -47 = -71 -6 + 11p = -71 + 6p Solving -6 + 11p = -71 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -6 + 11p + -6p = -71 + 6p + -6p Combine like terms: 11p + -6p = 5p -6 + 5p = -71 + 6p + -6p Combine like terms: 6p + -6p = 0 -6 + 5p = -71 + 0 -6 + 5p = -71 Add '6' to each side of the equation. -6 + 6 + 5p = -71 + 6 Combine like terms: -6 + 6 = 0 0 + 5p = -71 + 6 5p = -71 + 6 Combine like terms: -71 + 6 = -65 5p = -65 Divide each side by '5'. p = -13 Simplifying p = -13
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