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