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Simplifying 3(r + -1) + -3(3x + y) = 0 Reorder the terms: 3(-1 + r) + -3(3x + y) = 0 (-1 * 3 + r * 3) + -3(3x + y) = 0 (-3 + 3r) + -3(3x + y) = 0 -3 + 3r + (3x * -3 + y * -3) = 0 -3 + 3r + (-9x + -3y) = 0 Solving -3 + 3r + -9x + -3y = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3r + -9x + 3 + -3y = 0 + 3 Reorder the terms: -3 + 3 + 3r + -9x + -3y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 3r + -9x + -3y = 0 + 3 3r + -9x + -3y = 0 + 3 Combine like terms: 0 + 3 = 3 3r + -9x + -3y = 3 Add '9x' to each side of the equation. 3r + -9x + 9x + -3y = 3 + 9x Combine like terms: -9x + 9x = 0 3r + 0 + -3y = 3 + 9x 3r + -3y = 3 + 9x Add '3y' to each side of the equation. 3r + -3y + 3y = 3 + 9x + 3y Combine like terms: -3y + 3y = 0 3r + 0 = 3 + 9x + 3y 3r = 3 + 9x + 3y Divide each side by '3'. r = 1 + 3x + y Simplifying r = 1 + 3x + y
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