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Simplifying 9x + -3(r + 6) = 2(r + 1) Reorder the terms: 9x + -3(6 + r) = 2(r + 1) 9x + (6 * -3 + r * -3) = 2(r + 1) 9x + (-18 + -3r) = 2(r + 1) Reorder the terms: -18 + -3r + 9x = 2(r + 1) Reorder the terms: -18 + -3r + 9x = 2(1 + r) -18 + -3r + 9x = (1 * 2 + r * 2) -18 + -3r + 9x = (2 + 2r) Solving -18 + -3r + 9x = 2 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -18 + -3r + -2r + 9x = 2 + 2r + -2r Combine like terms: -3r + -2r = -5r -18 + -5r + 9x = 2 + 2r + -2r Combine like terms: 2r + -2r = 0 -18 + -5r + 9x = 2 + 0 -18 + -5r + 9x = 2 Add '18' to each side of the equation. -18 + -5r + 18 + 9x = 2 + 18 Reorder the terms: -18 + 18 + -5r + 9x = 2 + 18 Combine like terms: -18 + 18 = 0 0 + -5r + 9x = 2 + 18 -5r + 9x = 2 + 18 Combine like terms: 2 + 18 = 20 -5r + 9x = 20 Add '-9x' to each side of the equation. -5r + 9x + -9x = 20 + -9x Combine like terms: 9x + -9x = 0 -5r + 0 = 20 + -9x -5r = 20 + -9x Divide each side by '-5'. r = -4 + 1.8x Simplifying r = -4 + 1.8x
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