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Simplifying -6 + -4b + 7b = 10 + -1b + 3b Combine like terms: -4b + 7b = 3b -6 + 3b = 10 + -1b + 3b Combine like terms: -1b + 3b = 2b -6 + 3b = 10 + 2b Solving -6 + 3b = 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. -6 + 3b + -2b = 10 + 2b + -2b Combine like terms: 3b + -2b = 1b -6 + 1b = 10 + 2b + -2b Combine like terms: 2b + -2b = 0 -6 + 1b = 10 + 0 -6 + 1b = 10 Add '6' to each side of the equation. -6 + 6 + 1b = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 1b = 10 + 6 1b = 10 + 6 Combine like terms: 10 + 6 = 16 1b = 16 Divide each side by '1'. b = 16 Simplifying b = 16
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