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Simplifying -4r + 1b = 4(r + -1b) + -3r Reorder the terms: 1b + -4r = 4(r + -1b) + -3r Reorder the terms: 1b + -4r = 4(-1b + r) + -3r 1b + -4r = (-1b * 4 + r * 4) + -3r 1b + -4r = (-4b + 4r) + -3r Combine like terms: 4r + -3r = 1r 1b + -4r = -4b + 1r Solving 1b + -4r = -4b + 1r Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. 1b + 4b + -4r = -4b + 4b + 1r Combine like terms: 1b + 4b = 5b 5b + -4r = -4b + 4b + 1r Combine like terms: -4b + 4b = 0 5b + -4r = 0 + 1r 5b + -4r = 1r Add '4r' to each side of the equation. 5b + -4r + 4r = 1r + 4r Combine like terms: -4r + 4r = 0 5b + 0 = 1r + 4r 5b = 1r + 4r Combine like terms: 1r + 4r = 5r 5b = 5r Divide each side by '5'. b = r Simplifying b = r
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