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Simplifying (7b + -6) + -3(2b + 4) = -7 Reorder the terms: (-6 + 7b) + -3(2b + 4) = -7 Remove parenthesis around (-6 + 7b) -6 + 7b + -3(2b + 4) = -7 Reorder the terms: -6 + 7b + -3(4 + 2b) = -7 -6 + 7b + (4 * -3 + 2b * -3) = -7 -6 + 7b + (-12 + -6b) = -7 Reorder the terms: -6 + -12 + 7b + -6b = -7 Combine like terms: -6 + -12 = -18 -18 + 7b + -6b = -7 Combine like terms: 7b + -6b = 1b -18 + 1b = -7 Solving -18 + 1b = -7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 1b = -7 + 18 Combine like terms: -18 + 18 = 0 0 + 1b = -7 + 18 1b = -7 + 18 Combine like terms: -7 + 18 = 11 1b = 11 Divide each side by '1'. b = 11 Simplifying b = 11
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