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Simplifying 29 + 4p = 3p + -5(1 + -7p) 29 + 4p = 3p + (1 * -5 + -7p * -5) 29 + 4p = 3p + (-5 + 35p) Reorder the terms: 29 + 4p = -5 + 3p + 35p Combine like terms: 3p + 35p = 38p 29 + 4p = -5 + 38p Solving 29 + 4p = -5 + 38p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-38p' to each side of the equation. 29 + 4p + -38p = -5 + 38p + -38p Combine like terms: 4p + -38p = -34p 29 + -34p = -5 + 38p + -38p Combine like terms: 38p + -38p = 0 29 + -34p = -5 + 0 29 + -34p = -5 Add '-29' to each side of the equation. 29 + -29 + -34p = -5 + -29 Combine like terms: 29 + -29 = 0 0 + -34p = -5 + -29 -34p = -5 + -29 Combine like terms: -5 + -29 = -34 -34p = -34 Divide each side by '-34'. p = 1 Simplifying p = 1
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