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Simplifying -6 + -8(2b + 5) = -4b + -34 Reorder the terms: -6 + -8(5 + 2b) = -4b + -34 -6 + (5 * -8 + 2b * -8) = -4b + -34 -6 + (-40 + -16b) = -4b + -34 Combine like terms: -6 + -40 = -46 -46 + -16b = -4b + -34 Reorder the terms: -46 + -16b = -34 + -4b Solving -46 + -16b = -34 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. -46 + -16b + 4b = -34 + -4b + 4b Combine like terms: -16b + 4b = -12b -46 + -12b = -34 + -4b + 4b Combine like terms: -4b + 4b = 0 -46 + -12b = -34 + 0 -46 + -12b = -34 Add '46' to each side of the equation. -46 + 46 + -12b = -34 + 46 Combine like terms: -46 + 46 = 0 0 + -12b = -34 + 46 -12b = -34 + 46 Combine like terms: -34 + 46 = 12 -12b = 12 Divide each side by '-12'. b = -1 Simplifying b = -1
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