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Simplifying 6(3b + 5) = 2(4x + -3) Reorder the terms: 6(5 + 3b) = 2(4x + -3) (5 * 6 + 3b * 6) = 2(4x + -3) (30 + 18b) = 2(4x + -3) Reorder the terms: 30 + 18b = 2(-3 + 4x) 30 + 18b = (-3 * 2 + 4x * 2) 30 + 18b = (-6 + 8x) Solving 30 + 18b = -6 + 8x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 18b = -6 + -30 + 8x Combine like terms: 30 + -30 = 0 0 + 18b = -6 + -30 + 8x 18b = -6 + -30 + 8x Combine like terms: -6 + -30 = -36 18b = -36 + 8x Divide each side by '18'. b = -2 + 0.4444444444x Simplifying b = -2 + 0.4444444444x
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