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Simplifying 4(b + 1) + 9 = 2(3b + -4) + b Reorder the terms: 4(1 + b) + 9 = 2(3b + -4) + b (1 * 4 + b * 4) + 9 = 2(3b + -4) + b (4 + 4b) + 9 = 2(3b + -4) + b Reorder the terms: 4 + 9 + 4b = 2(3b + -4) + b Combine like terms: 4 + 9 = 13 13 + 4b = 2(3b + -4) + b Reorder the terms: 13 + 4b = 2(-4 + 3b) + b 13 + 4b = (-4 * 2 + 3b * 2) + b 13 + 4b = (-8 + 6b) + b Combine like terms: 6b + b = 7b 13 + 4b = -8 + 7b Solving 13 + 4b = -8 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 13 + 4b + -7b = -8 + 7b + -7b Combine like terms: 4b + -7b = -3b 13 + -3b = -8 + 7b + -7b Combine like terms: 7b + -7b = 0 13 + -3b = -8 + 0 13 + -3b = -8 Add '-13' to each side of the equation. 13 + -13 + -3b = -8 + -13 Combine like terms: 13 + -13 = 0 0 + -3b = -8 + -13 -3b = -8 + -13 Combine like terms: -8 + -13 = -21 -3b = -21 Divide each side by '-3'. b = 7 Simplifying b = 7
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