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Simplifying 1 + -3b = 8 + -2(4 + b) 1 + -3b = 8 + (4 * -2 + b * -2) 1 + -3b = 8 + (-8 + -2b) Combine like terms: 8 + -8 = 0 1 + -3b = 0 + -2b 1 + -3b = -2b Solving 1 + -3b = -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 1 + -3b + 2b = -2b + 2b Combine like terms: -3b + 2b = -1b 1 + -1b = -2b + 2b Combine like terms: -2b + 2b = 0 1 + -1b = 0 Add '-1' to each side of the equation. 1 + -1 + -1b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1b = 0 + -1 -1b = 0 + -1 Combine like terms: 0 + -1 = -1 -1b = -1 Divide each side by '-1'. b = 1 Simplifying b = 1
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