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Simplifying 4(3r + -2t + 4b) = 0 Reorder the terms: 4(4b + 3r + -2t) = 0 (4b * 4 + 3r * 4 + -2t * 4) = 0 (16b + 12r + -8t) = 0 Solving 16b + 12r + -8t = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12r' to each side of the equation. 16b + 12r + -12r + -8t = 0 + -12r Combine like terms: 12r + -12r = 0 16b + 0 + -8t = 0 + -12r 16b + -8t = 0 + -12r Remove the zero: 16b + -8t = -12r Add '8t' to each side of the equation. 16b + -8t + 8t = -12r + 8t Combine like terms: -8t + 8t = 0 16b + 0 = -12r + 8t 16b = -12r + 8t Divide each side by '16'. b = -0.75r + 0.5t Simplifying b = -0.75r + 0.5t
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