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Simplifying -2b + 12 + -12 = 4(7 + -9b) + -6(1 + -2b) Reorder the terms: 12 + -12 + -2b = 4(7 + -9b) + -6(1 + -2b) Combine like terms: 12 + -12 = 0 0 + -2b = 4(7 + -9b) + -6(1 + -2b) -2b = 4(7 + -9b) + -6(1 + -2b) -2b = (7 * 4 + -9b * 4) + -6(1 + -2b) -2b = (28 + -36b) + -6(1 + -2b) -2b = 28 + -36b + (1 * -6 + -2b * -6) -2b = 28 + -36b + (-6 + 12b) Reorder the terms: -2b = 28 + -6 + -36b + 12b Combine like terms: 28 + -6 = 22 -2b = 22 + -36b + 12b Combine like terms: -36b + 12b = -24b -2b = 22 + -24b Solving -2b = 22 + -24b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '24b' to each side of the equation. -2b + 24b = 22 + -24b + 24b Combine like terms: -2b + 24b = 22b 22b = 22 + -24b + 24b Combine like terms: -24b + 24b = 0 22b = 22 + 0 22b = 22 Divide each side by '22'. b = 1 Simplifying b = 1
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