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Simplifying 34 + -6b = -4(1 + -8b) 34 + -6b = (1 * -4 + -8b * -4) 34 + -6b = (-4 + 32b) Solving 34 + -6b = -4 + 32b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-32b' to each side of the equation. 34 + -6b + -32b = -4 + 32b + -32b Combine like terms: -6b + -32b = -38b 34 + -38b = -4 + 32b + -32b Combine like terms: 32b + -32b = 0 34 + -38b = -4 + 0 34 + -38b = -4 Add '-34' to each side of the equation. 34 + -34 + -38b = -4 + -34 Combine like terms: 34 + -34 = 0 0 + -38b = -4 + -34 -38b = -4 + -34 Combine like terms: -4 + -34 = -38 -38b = -38 Divide each side by '-38'. b = 1 Simplifying b = 1
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