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Simplifying (3x + -7b) + (5t + 3r) = 0 Reorder the terms: (-7b + 3x) + (5t + 3r) = 0 Remove parenthesis around (-7b + 3x) -7b + 3x + (5t + 3r) = 0 Reorder the terms: -7b + 3x + (3r + 5t) = 0 Remove parenthesis around (3r + 5t) -7b + 3x + 3r + 5t = 0 Reorder the terms: -7b + 3r + 5t + 3x = 0 Solving -7b + 3r + 5t + 3x = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3r' to each side of the equation. -7b + 3r + 5t + -3r + 3x = 0 + -3r Reorder the terms: -7b + 3r + -3r + 5t + 3x = 0 + -3r Combine like terms: 3r + -3r = 0 -7b + 0 + 5t + 3x = 0 + -3r -7b + 5t + 3x = 0 + -3r Remove the zero: -7b + 5t + 3x = -3r Add '-5t' to each side of the equation. -7b + 5t + -5t + 3x = -3r + -5t Combine like terms: 5t + -5t = 0 -7b + 0 + 3x = -3r + -5t -7b + 3x = -3r + -5t Add '-3x' to each side of the equation. -7b + 3x + -3x = -3r + -5t + -3x Combine like terms: 3x + -3x = 0 -7b + 0 = -3r + -5t + -3x -7b = -3r + -5t + -3x Divide each side by '-7'. b = 0.4285714286r + 0.7142857143t + 0.4285714286x Simplifying b = 0.4285714286r + 0.7142857143t + 0.4285714286x
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