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Simplifying 2 + 3b = 7(8 + 3b) 2 + 3b = (8 * 7 + 3b * 7) 2 + 3b = (56 + 21b) Solving 2 + 3b = 56 + 21b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-21b' to each side of the equation. 2 + 3b + -21b = 56 + 21b + -21b Combine like terms: 3b + -21b = -18b 2 + -18b = 56 + 21b + -21b Combine like terms: 21b + -21b = 0 2 + -18b = 56 + 0 2 + -18b = 56 Add '-2' to each side of the equation. 2 + -2 + -18b = 56 + -2 Combine like terms: 2 + -2 = 0 0 + -18b = 56 + -2 -18b = 56 + -2 Combine like terms: 56 + -2 = 54 -18b = 54 Divide each side by '-18'. b = -3 Simplifying b = -3
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