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Simplifying 2(3b + -5) = 4(6b + -2) Reorder the terms: 2(-5 + 3b) = 4(6b + -2) (-5 * 2 + 3b * 2) = 4(6b + -2) (-10 + 6b) = 4(6b + -2) Reorder the terms: -10 + 6b = 4(-2 + 6b) -10 + 6b = (-2 * 4 + 6b * 4) -10 + 6b = (-8 + 24b) Solving -10 + 6b = -8 + 24b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-24b' to each side of the equation. -10 + 6b + -24b = -8 + 24b + -24b Combine like terms: 6b + -24b = -18b -10 + -18b = -8 + 24b + -24b Combine like terms: 24b + -24b = 0 -10 + -18b = -8 + 0 -10 + -18b = -8 Add '10' to each side of the equation. -10 + 10 + -18b = -8 + 10 Combine like terms: -10 + 10 = 0 0 + -18b = -8 + 10 -18b = -8 + 10 Combine like terms: -8 + 10 = 2 -18b = 2 Divide each side by '-18'. b = -0.1111111111 Simplifying b = -0.1111111111
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