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Simplifying 6b + 40 = -8(-6b + -5) + 7b Reorder the terms: 40 + 6b = -8(-6b + -5) + 7b Reorder the terms: 40 + 6b = -8(-5 + -6b) + 7b 40 + 6b = (-5 * -8 + -6b * -8) + 7b 40 + 6b = (40 + 48b) + 7b Combine like terms: 48b + 7b = 55b 40 + 6b = 40 + 55b Add '-40' to each side of the equation. 40 + -40 + 6b = 40 + -40 + 55b Combine like terms: 40 + -40 = 0 0 + 6b = 40 + -40 + 55b 6b = 40 + -40 + 55b Combine like terms: 40 + -40 = 0 6b = 0 + 55b 6b = 55b Solving 6b = 55b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-55b' to each side of the equation. 6b + -55b = 55b + -55b Combine like terms: 6b + -55b = -49b -49b = 55b + -55b Combine like terms: 55b + -55b = 0 -49b = 0 Divide each side by '-49'. b = 0 Simplifying b = 0
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