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Simplifying -34 + 4b = -2b + 5(7b + -1) Reorder the terms: -34 + 4b = -2b + 5(-1 + 7b) -34 + 4b = -2b + (-1 * 5 + 7b * 5) -34 + 4b = -2b + (-5 + 35b) Reorder the terms: -34 + 4b = -5 + -2b + 35b Combine like terms: -2b + 35b = 33b -34 + 4b = -5 + 33b Solving -34 + 4b = -5 + 33b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-33b' to each side of the equation. -34 + 4b + -33b = -5 + 33b + -33b Combine like terms: 4b + -33b = -29b -34 + -29b = -5 + 33b + -33b Combine like terms: 33b + -33b = 0 -34 + -29b = -5 + 0 -34 + -29b = -5 Add '34' to each side of the equation. -34 + 34 + -29b = -5 + 34 Combine like terms: -34 + 34 = 0 0 + -29b = -5 + 34 -29b = -5 + 34 Combine like terms: -5 + 34 = 29 -29b = 29 Divide each side by '-29'. b = -1 Simplifying b = -1
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