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Simplifying -11 + 2p = 6(4p + -5) + -3 Reorder the terms: -11 + 2p = 6(-5 + 4p) + -3 -11 + 2p = (-5 * 6 + 4p * 6) + -3 -11 + 2p = (-30 + 24p) + -3 Reorder the terms: -11 + 2p = -30 + -3 + 24p Combine like terms: -30 + -3 = -33 -11 + 2p = -33 + 24p Solving -11 + 2p = -33 + 24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24p' to each side of the equation. -11 + 2p + -24p = -33 + 24p + -24p Combine like terms: 2p + -24p = -22p -11 + -22p = -33 + 24p + -24p Combine like terms: 24p + -24p = 0 -11 + -22p = -33 + 0 -11 + -22p = -33 Add '11' to each side of the equation. -11 + 11 + -22p = -33 + 11 Combine like terms: -11 + 11 = 0 0 + -22p = -33 + 11 -22p = -33 + 11 Combine like terms: -33 + 11 = -22 -22p = -22 Divide each side by '-22'. p = 1 Simplifying p = 1
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