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Simplifying 2 + 3b = -8(5 + -2b) + -6b 2 + 3b = (5 * -8 + -2b * -8) + -6b 2 + 3b = (-40 + 16b) + -6b Combine like terms: 16b + -6b = 10b 2 + 3b = -40 + 10b Solving 2 + 3b = -40 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. 2 + 3b + -10b = -40 + 10b + -10b Combine like terms: 3b + -10b = -7b 2 + -7b = -40 + 10b + -10b Combine like terms: 10b + -10b = 0 2 + -7b = -40 + 0 2 + -7b = -40 Add '-2' to each side of the equation. 2 + -2 + -7b = -40 + -2 Combine like terms: 2 + -2 = 0 0 + -7b = -40 + -2 -7b = -40 + -2 Combine like terms: -40 + -2 = -42 -7b = -42 Divide each side by '-7'. b = 6 Simplifying b = 6
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