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Simplifying 3 + -5b + 26 = -2 + -2(1 + -1b) Reorder the terms: 3 + 26 + -5b = -2 + -2(1 + -1b) Combine like terms: 3 + 26 = 29 29 + -5b = -2 + -2(1 + -1b) 29 + -5b = -2 + (1 * -2 + -1b * -2) 29 + -5b = -2 + (-2 + 2b) Combine like terms: -2 + -2 = -4 29 + -5b = -4 + 2b Solving 29 + -5b = -4 + 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. 29 + -5b + -2b = -4 + 2b + -2b Combine like terms: -5b + -2b = -7b 29 + -7b = -4 + 2b + -2b Combine like terms: 2b + -2b = 0 29 + -7b = -4 + 0 29 + -7b = -4 Add '-29' to each side of the equation. 29 + -29 + -7b = -4 + -29 Combine like terms: 29 + -29 = 0 0 + -7b = -4 + -29 -7b = -4 + -29 Combine like terms: -4 + -29 = -33 -7b = -33 Divide each side by '-7'. b = 4.714285714 Simplifying b = 4.714285714
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