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Simplifying -5(b + 3) + 2(b + 4) = 0 Reorder the terms: -5(3 + b) + 2(b + 4) = 0 (3 * -5 + b * -5) + 2(b + 4) = 0 (-15 + -5b) + 2(b + 4) = 0 Reorder the terms: -15 + -5b + 2(4 + b) = 0 -15 + -5b + (4 * 2 + b * 2) = 0 -15 + -5b + (8 + 2b) = 0 Reorder the terms: -15 + 8 + -5b + 2b = 0 Combine like terms: -15 + 8 = -7 -7 + -5b + 2b = 0 Combine like terms: -5b + 2b = -3b -7 + -3b = 0 Solving -7 + -3b = 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 + -3b = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3b = 0 + 7 -3b = 0 + 7 Combine like terms: 0 + 7 = 7 -3b = 7 Divide each side by '-3'. b = -2.333333333 Simplifying b = -2.333333333
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