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Simplifying 7(7b + 5) = 2(b + -5) Reorder the terms: 7(5 + 7b) = 2(b + -5) (5 * 7 + 7b * 7) = 2(b + -5) (35 + 49b) = 2(b + -5) Reorder the terms: 35 + 49b = 2(-5 + b) 35 + 49b = (-5 * 2 + b * 2) 35 + 49b = (-10 + 2b) Solving 35 + 49b = -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. 35 + 49b + -2b = -10 + 2b + -2b Combine like terms: 49b + -2b = 47b 35 + 47b = -10 + 2b + -2b Combine like terms: 2b + -2b = 0 35 + 47b = -10 + 0 35 + 47b = -10 Add '-35' to each side of the equation. 35 + -35 + 47b = -10 + -35 Combine like terms: 35 + -35 = 0 0 + 47b = -10 + -35 47b = -10 + -35 Combine like terms: -10 + -35 = -45 47b = -45 Divide each side by '47'. b = -0.9574468085 Simplifying b = -0.9574468085
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