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Simplifying -6(-19 + -9b) = 5(18b + -6) (-19 * -6 + -9b * -6) = 5(18b + -6) (114 + 54b) = 5(18b + -6) Reorder the terms: 114 + 54b = 5(-6 + 18b) 114 + 54b = (-6 * 5 + 18b * 5) 114 + 54b = (-30 + 90b) Solving 114 + 54b = -30 + 90b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-90b' to each side of the equation. 114 + 54b + -90b = -30 + 90b + -90b Combine like terms: 54b + -90b = -36b 114 + -36b = -30 + 90b + -90b Combine like terms: 90b + -90b = 0 114 + -36b = -30 + 0 114 + -36b = -30 Add '-114' to each side of the equation. 114 + -114 + -36b = -30 + -114 Combine like terms: 114 + -114 = 0 0 + -36b = -30 + -114 -36b = -30 + -114 Combine like terms: -30 + -114 = -144 -36b = -144 Divide each side by '-36'. b = 4 Simplifying b = 4
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