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Simplifying 10 + 2b = 6(-2b + 4) Reorder the terms: 10 + 2b = 6(4 + -2b) 10 + 2b = (4 * 6 + -2b * 6) 10 + 2b = (24 + -12b) Solving 10 + 2b = 24 + -12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12b' to each side of the equation. 10 + 2b + 12b = 24 + -12b + 12b Combine like terms: 2b + 12b = 14b 10 + 14b = 24 + -12b + 12b Combine like terms: -12b + 12b = 0 10 + 14b = 24 + 0 10 + 14b = 24 Add '-10' to each side of the equation. 10 + -10 + 14b = 24 + -10 Combine like terms: 10 + -10 = 0 0 + 14b = 24 + -10 14b = 24 + -10 Combine like terms: 24 + -10 = 14 14b = 14 Divide each side by '14'. b = 1 Simplifying b = 1
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