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Simplifying 12b + -7 = 6(2 + -1b) Reorder the terms: -7 + 12b = 6(2 + -1b) -7 + 12b = (2 * 6 + -1b * 6) -7 + 12b = (12 + -6b) Solving -7 + 12b = 12 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. -7 + 12b + 6b = 12 + -6b + 6b Combine like terms: 12b + 6b = 18b -7 + 18b = 12 + -6b + 6b Combine like terms: -6b + 6b = 0 -7 + 18b = 12 + 0 -7 + 18b = 12 Add '7' to each side of the equation. -7 + 7 + 18b = 12 + 7 Combine like terms: -7 + 7 = 0 0 + 18b = 12 + 7 18b = 12 + 7 Combine like terms: 12 + 7 = 19 18b = 19 Divide each side by '18'. b = 1.055555556 Simplifying b = 1.055555556
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