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Simplifying (3b + -4) + -1(-5b + 3) = 0 Reorder the terms: (-4 + 3b) + -1(-5b + 3) = 0 Remove parenthesis around (-4 + 3b) -4 + 3b + -1(-5b + 3) = 0 Reorder the terms: -4 + 3b + -1(3 + -5b) = 0 -4 + 3b + (3 * -1 + -5b * -1) = 0 -4 + 3b + (-3 + 5b) = 0 Reorder the terms: -4 + -3 + 3b + 5b = 0 Combine like terms: -4 + -3 = -7 -7 + 3b + 5b = 0 Combine like terms: 3b + 5b = 8b -7 + 8b = 0 Solving -7 + 8b = 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 + 8b = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 8b = 0 + 7 8b = 0 + 7 Combine like terms: 0 + 7 = 7 8b = 7 Divide each side by '8'. b = 0.875 Simplifying b = 0.875
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