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Simplifying 3(5b + -4) + -4 = 2(b + -5) Reorder the terms: 3(-4 + 5b) + -4 = 2(b + -5) (-4 * 3 + 5b * 3) + -4 = 2(b + -5) (-12 + 15b) + -4 = 2(b + -5) Reorder the terms: -12 + -4 + 15b = 2(b + -5) Combine like terms: -12 + -4 = -16 -16 + 15b = 2(b + -5) Reorder the terms: -16 + 15b = 2(-5 + b) -16 + 15b = (-5 * 2 + b * 2) -16 + 15b = (-10 + 2b) Solving -16 + 15b = -10 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -16 + 15b + -2b = -10 + 2b + -2b Combine like terms: 15b + -2b = 13b -16 + 13b = -10 + 2b + -2b Combine like terms: 2b + -2b = 0 -16 + 13b = -10 + 0 -16 + 13b = -10 Add '16' to each side of the equation. -16 + 16 + 13b = -10 + 16 Combine like terms: -16 + 16 = 0 0 + 13b = -10 + 16 13b = -10 + 16 Combine like terms: -10 + 16 = 6 13b = 6 Divide each side by '13'. b = 0.4615384615 Simplifying b = 0.4615384615
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