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Simplifying 4(p + 5) = 6(p + -7) Reorder the terms: 4(5 + p) = 6(p + -7) (5 * 4 + p * 4) = 6(p + -7) (20 + 4p) = 6(p + -7) Reorder the terms: 20 + 4p = 6(-7 + p) 20 + 4p = (-7 * 6 + p * 6) 20 + 4p = (-42 + 6p) Solving 20 + 4p = -42 + 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. 20 + 4p + -6p = -42 + 6p + -6p Combine like terms: 4p + -6p = -2p 20 + -2p = -42 + 6p + -6p Combine like terms: 6p + -6p = 0 20 + -2p = -42 + 0 20 + -2p = -42 Add '-20' to each side of the equation. 20 + -20 + -2p = -42 + -20 Combine like terms: 20 + -20 = 0 0 + -2p = -42 + -20 -2p = -42 + -20 Combine like terms: -42 + -20 = -62 -2p = -62 Divide each side by '-2'. p = 31 Simplifying p = 31
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