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Simplifying 4r + 3 = 2r + -7 Reorder the terms: 3 + 4r = 2r + -7 Reorder the terms: 3 + 4r = -7 + 2r Solving 3 + 4r = -7 + 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. 3 + 4r + -2r = -7 + 2r + -2r Combine like terms: 4r + -2r = 2r 3 + 2r = -7 + 2r + -2r Combine like terms: 2r + -2r = 0 3 + 2r = -7 + 0 3 + 2r = -7 Add '-3' to each side of the equation. 3 + -3 + 2r = -7 + -3 Combine like terms: 3 + -3 = 0 0 + 2r = -7 + -3 2r = -7 + -3 Combine like terms: -7 + -3 = -10 2r = -10 Divide each side by '2'. r = -5 Simplifying r = -5
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