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Simplifying 2(-8p + 3) + 3 = -6 + -7(2p + -5) Reorder the terms: 2(3 + -8p) + 3 = -6 + -7(2p + -5) (3 * 2 + -8p * 2) + 3 = -6 + -7(2p + -5) (6 + -16p) + 3 = -6 + -7(2p + -5) Reorder the terms: 6 + 3 + -16p = -6 + -7(2p + -5) Combine like terms: 6 + 3 = 9 9 + -16p = -6 + -7(2p + -5) Reorder the terms: 9 + -16p = -6 + -7(-5 + 2p) 9 + -16p = -6 + (-5 * -7 + 2p * -7) 9 + -16p = -6 + (35 + -14p) Combine like terms: -6 + 35 = 29 9 + -16p = 29 + -14p Solving 9 + -16p = 29 + -14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '14p' to each side of the equation. 9 + -16p + 14p = 29 + -14p + 14p Combine like terms: -16p + 14p = -2p 9 + -2p = 29 + -14p + 14p Combine like terms: -14p + 14p = 0 9 + -2p = 29 + 0 9 + -2p = 29 Add '-9' to each side of the equation. 9 + -9 + -2p = 29 + -9 Combine like terms: 9 + -9 = 0 0 + -2p = 29 + -9 -2p = 29 + -9 Combine like terms: 29 + -9 = 20 -2p = 20 Divide each side by '-2'. p = -10 Simplifying p = -10
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