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Simplifying 4 + 2b + -1(3b + 4) + -1(4b + 7) = 0 Reorder the terms: 4 + 2b + -1(4 + 3b) + -1(4b + 7) = 0 4 + 2b + (4 * -1 + 3b * -1) + -1(4b + 7) = 0 4 + 2b + (-4 + -3b) + -1(4b + 7) = 0 Reorder the terms: 4 + 2b + -4 + -3b + -1(7 + 4b) = 0 4 + 2b + -4 + -3b + (7 * -1 + 4b * -1) = 0 4 + 2b + -4 + -3b + (-7 + -4b) = 0 Reorder the terms: 4 + -4 + -7 + 2b + -3b + -4b = 0 Combine like terms: 4 + -4 = 0 0 + -7 + 2b + -3b + -4b = 0 -7 + 2b + -3b + -4b = 0 Combine like terms: 2b + -3b = -1b -7 + -1b + -4b = 0 Combine like terms: -1b + -4b = -5b -7 + -5b = 0 Solving -7 + -5b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -5b = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5b = 0 + 7 -5b = 0 + 7 Combine like terms: 0 + 7 = 7 -5b = 7 Divide each side by '-5'. b = -1.4 Simplifying b = -1.4
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