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Simplifying 5(3c + 4) + 5(2b + 3) = 0 Reorder the terms: 5(4 + 3c) + 5(2b + 3) = 0 (4 * 5 + 3c * 5) + 5(2b + 3) = 0 (20 + 15c) + 5(2b + 3) = 0 Reorder the terms: 20 + 15c + 5(3 + 2b) = 0 20 + 15c + (3 * 5 + 2b * 5) = 0 20 + 15c + (15 + 10b) = 0 Reorder the terms: 20 + 15 + 10b + 15c = 0 Combine like terms: 20 + 15 = 35 35 + 10b + 15c = 0 Solving 35 + 10b + 15c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + 10b + -35 + 15c = 0 + -35 Reorder the terms: 35 + -35 + 10b + 15c = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 10b + 15c = 0 + -35 10b + 15c = 0 + -35 Combine like terms: 0 + -35 = -35 10b + 15c = -35 Add '-15c' to each side of the equation. 10b + 15c + -15c = -35 + -15c Combine like terms: 15c + -15c = 0 10b + 0 = -35 + -15c 10b = -35 + -15c Divide each side by '10'. b = -3.5 + -1.5c Simplifying b = -3.5 + -1.5c
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