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Simplifying -9(3b + 10) = -5(5b + 70) Reorder the terms: -9(10 + 3b) = -5(5b + 70) (10 * -9 + 3b * -9) = -5(5b + 70) (-90 + -27b) = -5(5b + 70) Reorder the terms: -90 + -27b = -5(70 + 5b) -90 + -27b = (70 * -5 + 5b * -5) -90 + -27b = (-350 + -25b) Solving -90 + -27b = -350 + -25b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '25b' to each side of the equation. -90 + -27b + 25b = -350 + -25b + 25b Combine like terms: -27b + 25b = -2b -90 + -2b = -350 + -25b + 25b Combine like terms: -25b + 25b = 0 -90 + -2b = -350 + 0 -90 + -2b = -350 Add '90' to each side of the equation. -90 + 90 + -2b = -350 + 90 Combine like terms: -90 + 90 = 0 0 + -2b = -350 + 90 -2b = -350 + 90 Combine like terms: -350 + 90 = -260 -2b = -260 Divide each side by '-2'. b = 130 Simplifying b = 130
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