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Simplifying 8 + -3b = -1b + 6(-7 + 8b) 8 + -3b = -1b + (-7 * 6 + 8b * 6) 8 + -3b = -1b + (-42 + 48b) Reorder the terms: 8 + -3b = -42 + -1b + 48b Combine like terms: -1b + 48b = 47b 8 + -3b = -42 + 47b Solving 8 + -3b = -42 + 47b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-47b' to each side of the equation. 8 + -3b + -47b = -42 + 47b + -47b Combine like terms: -3b + -47b = -50b 8 + -50b = -42 + 47b + -47b Combine like terms: 47b + -47b = 0 8 + -50b = -42 + 0 8 + -50b = -42 Add '-8' to each side of the equation. 8 + -8 + -50b = -42 + -8 Combine like terms: 8 + -8 = 0 0 + -50b = -42 + -8 -50b = -42 + -8 Combine like terms: -42 + -8 = -50 -50b = -50 Divide each side by '-50'. b = 1 Simplifying b = 1
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