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Simplifying 4(b + 2) = 3(b + -7) Reorder the terms: 4(2 + b) = 3(b + -7) (2 * 4 + b * 4) = 3(b + -7) (8 + 4b) = 3(b + -7) Reorder the terms: 8 + 4b = 3(-7 + b) 8 + 4b = (-7 * 3 + b * 3) 8 + 4b = (-21 + 3b) Solving 8 + 4b = -21 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 8 + 4b + -3b = -21 + 3b + -3b Combine like terms: 4b + -3b = 1b 8 + 1b = -21 + 3b + -3b Combine like terms: 3b + -3b = 0 8 + 1b = -21 + 0 8 + 1b = -21 Add '-8' to each side of the equation. 8 + -8 + 1b = -21 + -8 Combine like terms: 8 + -8 = 0 0 + 1b = -21 + -8 1b = -21 + -8 Combine like terms: -21 + -8 = -29 1b = -29 Divide each side by '1'. b = -29 Simplifying b = -29
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