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Simplifying 10 + 7b = 4(b + 3) + -5 Reorder the terms: 10 + 7b = 4(3 + b) + -5 10 + 7b = (3 * 4 + b * 4) + -5 10 + 7b = (12 + 4b) + -5 Reorder the terms: 10 + 7b = 12 + -5 + 4b Combine like terms: 12 + -5 = 7 10 + 7b = 7 + 4b Solving 10 + 7b = 7 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 10 + 7b + -4b = 7 + 4b + -4b Combine like terms: 7b + -4b = 3b 10 + 3b = 7 + 4b + -4b Combine like terms: 4b + -4b = 0 10 + 3b = 7 + 0 10 + 3b = 7 Add '-10' to each side of the equation. 10 + -10 + 3b = 7 + -10 Combine like terms: 10 + -10 = 0 0 + 3b = 7 + -10 3b = 7 + -10 Combine like terms: 7 + -10 = -3 3b = -3 Divide each side by '3'. b = -1 Simplifying b = -1
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