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Simplifying -0.11111(18b + 27) = 1 + b + -4 + -3b Reorder the terms: -0.11111(27 + 18b) = 1 + b + -4 + -3b (27 * -0.11111 + 18b * -0.11111) = 1 + b + -4 + -3b (-2.99997 + -1.99998b) = 1 + b + -4 + -3b Reorder the terms: -2.99997 + -1.99998b = 1 + -4 + b + -3b Combine like terms: 1 + -4 = -3 -2.99997 + -1.99998b = -3 + b + -3b Combine like terms: b + -3b = -2b -2.99997 + -1.99998b = -3 + -2b Solving -2.99997 + -1.99998b = -3 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. -2.99997 + -1.99998b + 2b = -3 + -2b + 2b Combine like terms: -1.99998b + 2b = 0.00002b -2.99997 + 0.00002b = -3 + -2b + 2b Combine like terms: -2b + 2b = 0 -2.99997 + 0.00002b = -3 + 0 -2.99997 + 0.00002b = -3 Add '2.99997' to each side of the equation. -2.99997 + 2.99997 + 0.00002b = -3 + 2.99997 Combine like terms: -2.99997 + 2.99997 = 0.00000 0.00000 + 0.00002b = -3 + 2.99997 0.00002b = -3 + 2.99997 Combine like terms: -3 + 2.99997 = -0.00003 0.00002b = -0.00003 Divide each side by '0.00002'. b = -1.5 Simplifying b = -1.5
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