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Simplifying 34 + -8b = 4(-8 + -3b) + -7b 34 + -8b = (-8 * 4 + -3b * 4) + -7b 34 + -8b = (-32 + -12b) + -7b Combine like terms: -12b + -7b = -19b 34 + -8b = -32 + -19b Solving 34 + -8b = -32 + -19b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '19b' to each side of the equation. 34 + -8b + 19b = -32 + -19b + 19b Combine like terms: -8b + 19b = 11b 34 + 11b = -32 + -19b + 19b Combine like terms: -19b + 19b = 0 34 + 11b = -32 + 0 34 + 11b = -32 Add '-34' to each side of the equation. 34 + -34 + 11b = -32 + -34 Combine like terms: 34 + -34 = 0 0 + 11b = -32 + -34 11b = -32 + -34 Combine like terms: -32 + -34 = -66 11b = -66 Divide each side by '11'. b = -6 Simplifying b = -6
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