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Simplifying 2(b + 1) = 8(2b + -5) Reorder the terms: 2(1 + b) = 8(2b + -5) (1 * 2 + b * 2) = 8(2b + -5) (2 + 2b) = 8(2b + -5) Reorder the terms: 2 + 2b = 8(-5 + 2b) 2 + 2b = (-5 * 8 + 2b * 8) 2 + 2b = (-40 + 16b) Solving 2 + 2b = -40 + 16b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-16b' to each side of the equation. 2 + 2b + -16b = -40 + 16b + -16b Combine like terms: 2b + -16b = -14b 2 + -14b = -40 + 16b + -16b Combine like terms: 16b + -16b = 0 2 + -14b = -40 + 0 2 + -14b = -40 Add '-2' to each side of the equation. 2 + -2 + -14b = -40 + -2 Combine like terms: 2 + -2 = 0 0 + -14b = -40 + -2 -14b = -40 + -2 Combine like terms: -40 + -2 = -42 -14b = -42 Divide each side by '-14'. b = 3 Simplifying b = 3
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