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Simplifying 10b + -3(b + -5) = 12 + 2(b + -3) Reorder the terms: 10b + -3(-5 + b) = 12 + 2(b + -3) 10b + (-5 * -3 + b * -3) = 12 + 2(b + -3) 10b + (15 + -3b) = 12 + 2(b + -3) Reorder the terms: 15 + 10b + -3b = 12 + 2(b + -3) Combine like terms: 10b + -3b = 7b 15 + 7b = 12 + 2(b + -3) Reorder the terms: 15 + 7b = 12 + 2(-3 + b) 15 + 7b = 12 + (-3 * 2 + b * 2) 15 + 7b = 12 + (-6 + 2b) Combine like terms: 12 + -6 = 6 15 + 7b = 6 + 2b Solving 15 + 7b = 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. 15 + 7b + -2b = 6 + 2b + -2b Combine like terms: 7b + -2b = 5b 15 + 5b = 6 + 2b + -2b Combine like terms: 2b + -2b = 0 15 + 5b = 6 + 0 15 + 5b = 6 Add '-15' to each side of the equation. 15 + -15 + 5b = 6 + -15 Combine like terms: 15 + -15 = 0 0 + 5b = 6 + -15 5b = 6 + -15 Combine like terms: 6 + -15 = -9 5b = -9 Divide each side by '5'. b = -1.8 Simplifying b = -1.8
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