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Simplifying 154 = 7(-3b + 8) + 7b Reorder the terms: 154 = 7(8 + -3b) + 7b 154 = (8 * 7 + -3b * 7) + 7b 154 = (56 + -21b) + 7b Combine like terms: -21b + 7b = -14b 154 = 56 + -14b Solving 154 = 56 + -14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '14b' to each side of the equation. 154 + 14b = 56 + -14b + 14b Combine like terms: -14b + 14b = 0 154 + 14b = 56 + 0 154 + 14b = 56 Add '-154' to each side of the equation. 154 + -154 + 14b = 56 + -154 Combine like terms: 154 + -154 = 0 0 + 14b = 56 + -154 14b = 56 + -154 Combine like terms: 56 + -154 = -98 14b = -98 Divide each side by '14'. b = -7 Simplifying b = -7
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