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Simplifying -13p + -4(2 + -5p) = 2(p + -3) + -47 -13p + (2 * -4 + -5p * -4) = 2(p + -3) + -47 -13p + (-8 + 20p) = 2(p + -3) + -47 Reorder the terms: -8 + -13p + 20p = 2(p + -3) + -47 Combine like terms: -13p + 20p = 7p -8 + 7p = 2(p + -3) + -47 Reorder the terms: -8 + 7p = 2(-3 + p) + -47 -8 + 7p = (-3 * 2 + p * 2) + -47 -8 + 7p = (-6 + 2p) + -47 Reorder the terms: -8 + 7p = -6 + -47 + 2p Combine like terms: -6 + -47 = -53 -8 + 7p = -53 + 2p Solving -8 + 7p = -53 + 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. -8 + 7p + -2p = -53 + 2p + -2p Combine like terms: 7p + -2p = 5p -8 + 5p = -53 + 2p + -2p Combine like terms: 2p + -2p = 0 -8 + 5p = -53 + 0 -8 + 5p = -53 Add '8' to each side of the equation. -8 + 8 + 5p = -53 + 8 Combine like terms: -8 + 8 = 0 0 + 5p = -53 + 8 5p = -53 + 8 Combine like terms: -53 + 8 = -45 5p = -45 Divide each side by '5'. p = -9 Simplifying p = -9
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