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Simplifying -6(2 + 2b) = 5(1 + -7b) + 6b (2 * -6 + 2b * -6) = 5(1 + -7b) + 6b (-12 + -12b) = 5(1 + -7b) + 6b -12 + -12b = (1 * 5 + -7b * 5) + 6b -12 + -12b = (5 + -35b) + 6b Combine like terms: -35b + 6b = -29b -12 + -12b = 5 + -29b Solving -12 + -12b = 5 + -29b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '29b' to each side of the equation. -12 + -12b + 29b = 5 + -29b + 29b Combine like terms: -12b + 29b = 17b -12 + 17b = 5 + -29b + 29b Combine like terms: -29b + 29b = 0 -12 + 17b = 5 + 0 -12 + 17b = 5 Add '12' to each side of the equation. -12 + 12 + 17b = 5 + 12 Combine like terms: -12 + 12 = 0 0 + 17b = 5 + 12 17b = 5 + 12 Combine like terms: 5 + 12 = 17 17b = 17 Divide each side by '17'. b = 1 Simplifying b = 1
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