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Simplifying 4(b + 1) + 9 = 2(3b + -4) Reorder the terms: 4(1 + b) + 9 = 2(3b + -4) (1 * 4 + b * 4) + 9 = 2(3b + -4) (4 + 4b) + 9 = 2(3b + -4) Reorder the terms: 4 + 9 + 4b = 2(3b + -4) Combine like terms: 4 + 9 = 13 13 + 4b = 2(3b + -4) Reorder the terms: 13 + 4b = 2(-4 + 3b) 13 + 4b = (-4 * 2 + 3b * 2) 13 + 4b = (-8 + 6b) Solving 13 + 4b = -8 + 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. 13 + 4b + -6b = -8 + 6b + -6b Combine like terms: 4b + -6b = -2b 13 + -2b = -8 + 6b + -6b Combine like terms: 6b + -6b = 0 13 + -2b = -8 + 0 13 + -2b = -8 Add '-13' to each side of the equation. 13 + -13 + -2b = -8 + -13 Combine like terms: 13 + -13 = 0 0 + -2b = -8 + -13 -2b = -8 + -13 Combine like terms: -8 + -13 = -21 -2b = -21 Divide each side by '-2'. b = 10.5 Simplifying b = 10.5
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