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Simplifying 2(3b + -4) = 2(r + -4) + -6 Reorder the terms: 2(-4 + 3b) = 2(r + -4) + -6 (-4 * 2 + 3b * 2) = 2(r + -4) + -6 (-8 + 6b) = 2(r + -4) + -6 Reorder the terms: -8 + 6b = 2(-4 + r) + -6 -8 + 6b = (-4 * 2 + r * 2) + -6 -8 + 6b = (-8 + 2r) + -6 Reorder the terms: -8 + 6b = -8 + -6 + 2r Combine like terms: -8 + -6 = -14 -8 + 6b = -14 + 2r Solving -8 + 6b = -14 + 2r Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 6b = -14 + 8 + 2r Combine like terms: -8 + 8 = 0 0 + 6b = -14 + 8 + 2r 6b = -14 + 8 + 2r Combine like terms: -14 + 8 = -6 6b = -6 + 2r Divide each side by '6'. b = -1 + 0.3333333333r Simplifying b = -1 + 0.3333333333r
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