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Simplifying 4(b + -2) * 10 = 2(b + 3) Reorder the terms: 4(-2 + b) * 10 = 2(b + 3) Reorder the terms for easier multiplication: 4 * 10(-2 + b) = 2(b + 3) Multiply 4 * 10 40(-2 + b) = 2(b + 3) (-2 * 40 + b * 40) = 2(b + 3) (-80 + 40b) = 2(b + 3) Reorder the terms: -80 + 40b = 2(3 + b) -80 + 40b = (3 * 2 + b * 2) -80 + 40b = (6 + 2b) Solving -80 + 40b = 6 + 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. -80 + 40b + -2b = 6 + 2b + -2b Combine like terms: 40b + -2b = 38b -80 + 38b = 6 + 2b + -2b Combine like terms: 2b + -2b = 0 -80 + 38b = 6 + 0 -80 + 38b = 6 Add '80' to each side of the equation. -80 + 80 + 38b = 6 + 80 Combine like terms: -80 + 80 = 0 0 + 38b = 6 + 80 38b = 6 + 80 Combine like terms: 6 + 80 = 86 38b = 86 Divide each side by '38'. b = 2.263157895 Simplifying b = 2.263157895
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