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Simplifying 5(2 + -1x) + -3(4 + -2r) = 20 (2 * 5 + -1x * 5) + -3(4 + -2r) = 20 (10 + -5x) + -3(4 + -2r) = 20 10 + -5x + (4 * -3 + -2r * -3) = 20 10 + -5x + (-12 + 6r) = 20 Reorder the terms: 10 + -12 + 6r + -5x = 20 Combine like terms: 10 + -12 = -2 -2 + 6r + -5x = 20 Solving -2 + 6r + -5x = 20 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 6r + 2 + -5x = 20 + 2 Reorder the terms: -2 + 2 + 6r + -5x = 20 + 2 Combine like terms: -2 + 2 = 0 0 + 6r + -5x = 20 + 2 6r + -5x = 20 + 2 Combine like terms: 20 + 2 = 22 6r + -5x = 22 Add '5x' to each side of the equation. 6r + -5x + 5x = 22 + 5x Combine like terms: -5x + 5x = 0 6r + 0 = 22 + 5x 6r = 22 + 5x Divide each side by '6'. r = 3.666666667 + 0.8333333333x Simplifying r = 3.666666667 + 0.8333333333x
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