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Simplifying -3b + 7 = 6 + -1(10b + 3) Reorder the terms: 7 + -3b = 6 + -1(10b + 3) Reorder the terms: 7 + -3b = 6 + -1(3 + 10b) 7 + -3b = 6 + (3 * -1 + 10b * -1) 7 + -3b = 6 + (-3 + -10b) Combine like terms: 6 + -3 = 3 7 + -3b = 3 + -10b Solving 7 + -3b = 3 + -10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10b' to each side of the equation. 7 + -3b + 10b = 3 + -10b + 10b Combine like terms: -3b + 10b = 7b 7 + 7b = 3 + -10b + 10b Combine like terms: -10b + 10b = 0 7 + 7b = 3 + 0 7 + 7b = 3 Add '-7' to each side of the equation. 7 + -7 + 7b = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 7b = 3 + -7 7b = 3 + -7 Combine like terms: 3 + -7 = -4 7b = -4 Divide each side by '7'. b = -0.5714285714 Simplifying b = -0.5714285714
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