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Simplifying 4b + 7 + -5b = 5b + 4 + 5 + 10 Reorder the terms: 7 + 4b + -5b = 5b + 4 + 5 + 10 Combine like terms: 4b + -5b = -1b 7 + -1b = 5b + 4 + 5 + 10 Reorder the terms: 7 + -1b = 4 + 5 + 10 + 5b Combine like terms: 4 + 5 = 9 7 + -1b = 9 + 10 + 5b Combine like terms: 9 + 10 = 19 7 + -1b = 19 + 5b Solving 7 + -1b = 19 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 7 + -1b + -5b = 19 + 5b + -5b Combine like terms: -1b + -5b = -6b 7 + -6b = 19 + 5b + -5b Combine like terms: 5b + -5b = 0 7 + -6b = 19 + 0 7 + -6b = 19 Add '-7' to each side of the equation. 7 + -7 + -6b = 19 + -7 Combine like terms: 7 + -7 = 0 0 + -6b = 19 + -7 -6b = 19 + -7 Combine like terms: 19 + -7 = 12 -6b = 12 Divide each side by '-6'. b = -2 Simplifying b = -2
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