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Simplifying 4(b + 2) = 6(b + -1) + 7 Reorder the terms: 4(2 + b) = 6(b + -1) + 7 (2 * 4 + b * 4) = 6(b + -1) + 7 (8 + 4b) = 6(b + -1) + 7 Reorder the terms: 8 + 4b = 6(-1 + b) + 7 8 + 4b = (-1 * 6 + b * 6) + 7 8 + 4b = (-6 + 6b) + 7 Reorder the terms: 8 + 4b = -6 + 7 + 6b Combine like terms: -6 + 7 = 1 8 + 4b = 1 + 6b Solving 8 + 4b = 1 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 8 + 4b + -6b = 1 + 6b + -6b Combine like terms: 4b + -6b = -2b 8 + -2b = 1 + 6b + -6b Combine like terms: 6b + -6b = 0 8 + -2b = 1 + 0 8 + -2b = 1 Add '-8' to each side of the equation. 8 + -8 + -2b = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -2b = 1 + -8 -2b = 1 + -8 Combine like terms: 1 + -8 = -7 -2b = -7 Divide each side by '-2'. b = 3.5 Simplifying b = 3.5
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