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Simplifying 10 + -7b = 4 + -5(2b + 9) Reorder the terms: 10 + -7b = 4 + -5(9 + 2b) 10 + -7b = 4 + (9 * -5 + 2b * -5) 10 + -7b = 4 + (-45 + -10b) Combine like terms: 4 + -45 = -41 10 + -7b = -41 + -10b Solving 10 + -7b = -41 + -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. 10 + -7b + 10b = -41 + -10b + 10b Combine like terms: -7b + 10b = 3b 10 + 3b = -41 + -10b + 10b Combine like terms: -10b + 10b = 0 10 + 3b = -41 + 0 10 + 3b = -41 Add '-10' to each side of the equation. 10 + -10 + 3b = -41 + -10 Combine like terms: 10 + -10 = 0 0 + 3b = -41 + -10 3b = -41 + -10 Combine like terms: -41 + -10 = -51 3b = -51 Divide each side by '3'. b = -17 Simplifying b = -17
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