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Simplifying 7(b + 14) + -4b = (2b + 20) Reorder the terms: 7(14 + b) + -4b = (2b + 20) (14 * 7 + b * 7) + -4b = (2b + 20) (98 + 7b) + -4b = (2b + 20) Combine like terms: 7b + -4b = 3b 98 + 3b = (2b + 20) Reorder the terms: 98 + 3b = (20 + 2b) Remove parenthesis around (20 + 2b) 98 + 3b = 20 + 2b Solving 98 + 3b = 20 + 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. 98 + 3b + -2b = 20 + 2b + -2b Combine like terms: 3b + -2b = 1b 98 + 1b = 20 + 2b + -2b Combine like terms: 2b + -2b = 0 98 + 1b = 20 + 0 98 + 1b = 20 Add '-98' to each side of the equation. 98 + -98 + 1b = 20 + -98 Combine like terms: 98 + -98 = 0 0 + 1b = 20 + -98 1b = 20 + -98 Combine like terms: 20 + -98 = -78 1b = -78 Divide each side by '1'. b = -78 Simplifying b = -78
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