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Simplifying (b + -7) + -1(4b + -2) = 0 Reorder the terms: (-7 + b) + -1(4b + -2) = 0 Remove parenthesis around (-7 + b) -7 + b + -1(4b + -2) = 0 Reorder the terms: -7 + b + -1(-2 + 4b) = 0 -7 + b + (-2 * -1 + 4b * -1) = 0 -7 + b + (2 + -4b) = 0 Reorder the terms: -7 + 2 + b + -4b = 0 Combine like terms: -7 + 2 = -5 -5 + b + -4b = 0 Combine like terms: b + -4b = -3b -5 + -3b = 0 Solving -5 + -3b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3b = 0 + 5 -3b = 0 + 5 Combine like terms: 0 + 5 = 5 -3b = 5 Divide each side by '-3'. b = -1.666666667 Simplifying b = -1.666666667
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