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Simplifying -5b + 34 = -8(b + -6) + 6b Reorder the terms: 34 + -5b = -8(b + -6) + 6b Reorder the terms: 34 + -5b = -8(-6 + b) + 6b 34 + -5b = (-6 * -8 + b * -8) + 6b 34 + -5b = (48 + -8b) + 6b Combine like terms: -8b + 6b = -2b 34 + -5b = 48 + -2b Solving 34 + -5b = 48 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 34 + -5b + 2b = 48 + -2b + 2b Combine like terms: -5b + 2b = -3b 34 + -3b = 48 + -2b + 2b Combine like terms: -2b + 2b = 0 34 + -3b = 48 + 0 34 + -3b = 48 Add '-34' to each side of the equation. 34 + -34 + -3b = 48 + -34 Combine like terms: 34 + -34 = 0 0 + -3b = 48 + -34 -3b = 48 + -34 Combine like terms: 48 + -34 = 14 -3b = 14 Divide each side by '-3'. b = -4.666666667 Simplifying b = -4.666666667
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