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Simplifying b + 15(2 + 3b) = 7 + (2b * 3) b + (2 * 15 + 3b * 15) = 7 + (2b * 3) b + (30 + 45b) = 7 + (2b * 3) Reorder the terms: 30 + b + 45b = 7 + (2b * 3) Combine like terms: b + 45b = 46b 30 + 46b = 7 + (2b * 3) Reorder the terms for easier multiplication: 30 + 46b = 7 + (2 * 3b) Multiply 2 * 3 30 + 46b = 7 + (6b) Solving 30 + 46b = 7 + (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. 30 + 46b + (-6b) = 7 + (6b) + (-6b) Combine like terms: 46b + (-6b) = 40b 30 + 40b = 7 + (6b) + (-6b) Combine like terms: (6b) + (-6b) = 0 30 + 40b = 7 + 0 30 + 40b = 7 Add '-30' to each side of the equation. 30 + -30 + 40b = 7 + -30 Combine like terms: 30 + -30 = 0 0 + 40b = 7 + -30 40b = 7 + -30 Combine like terms: 7 + -30 = -23 40b = -23 Divide each side by '40'. b = -0.575 Simplifying b = -0.575
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