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Simplifying 42r + -3(6 + x) + -1 = 2 42r + (6 * -3 + x * -3) + -1 = 2 42r + (-18 + -3x) + -1 = 2 Reorder the terms: -18 + -1 + 42r + -3x = 2 Combine like terms: -18 + -1 = -19 -19 + 42r + -3x = 2 Solving -19 + 42r + -3x = 2 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 42r + 19 + -3x = 2 + 19 Reorder the terms: -19 + 19 + 42r + -3x = 2 + 19 Combine like terms: -19 + 19 = 0 0 + 42r + -3x = 2 + 19 42r + -3x = 2 + 19 Combine like terms: 2 + 19 = 21 42r + -3x = 21 Add '3x' to each side of the equation. 42r + -3x + 3x = 21 + 3x Combine like terms: -3x + 3x = 0 42r + 0 = 21 + 3x 42r = 21 + 3x Divide each side by '42'. r = 0.5 + 0.07142857143x Simplifying r = 0.5 + 0.07142857143x
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