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Simplifying -2r + -3 + 6r = 7r + 42 Reorder the terms: -3 + -2r + 6r = 7r + 42 Combine like terms: -2r + 6r = 4r -3 + 4r = 7r + 42 Reorder the terms: -3 + 4r = 42 + 7r Solving -3 + 4r = 42 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. -3 + 4r + -7r = 42 + 7r + -7r Combine like terms: 4r + -7r = -3r -3 + -3r = 42 + 7r + -7r Combine like terms: 7r + -7r = 0 -3 + -3r = 42 + 0 -3 + -3r = 42 Add '3' to each side of the equation. -3 + 3 + -3r = 42 + 3 Combine like terms: -3 + 3 = 0 0 + -3r = 42 + 3 -3r = 42 + 3 Combine like terms: 42 + 3 = 45 -3r = 45 Divide each side by '-3'. r = -15 Simplifying r = -15
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