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Simplifying 6(b + -2) = 3(2x + -6) + -1x Reorder the terms: 6(-2 + b) = 3(2x + -6) + -1x (-2 * 6 + b * 6) = 3(2x + -6) + -1x (-12 + 6b) = 3(2x + -6) + -1x Reorder the terms: -12 + 6b = 3(-6 + 2x) + -1x -12 + 6b = (-6 * 3 + 2x * 3) + -1x -12 + 6b = (-18 + 6x) + -1x Combine like terms: 6x + -1x = 5x -12 + 6b = -18 + 5x Solving -12 + 6b = -18 + 5x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 6b = -18 + 12 + 5x Combine like terms: -12 + 12 = 0 0 + 6b = -18 + 12 + 5x 6b = -18 + 12 + 5x Combine like terms: -18 + 12 = -6 6b = -6 + 5x Divide each side by '6'. b = -1 + 0.8333333333x Simplifying b = -1 + 0.8333333333x
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