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Simplifying 3r + 4 + -2r + -7 = 4r + 3 Reorder the terms: 4 + -7 + 3r + -2r = 4r + 3 Combine like terms: 4 + -7 = -3 -3 + 3r + -2r = 4r + 3 Combine like terms: 3r + -2r = 1r -3 + 1r = 4r + 3 Reorder the terms: -3 + 1r = 3 + 4r Solving -3 + 1r = 3 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -3 + 1r + -4r = 3 + 4r + -4r Combine like terms: 1r + -4r = -3r -3 + -3r = 3 + 4r + -4r Combine like terms: 4r + -4r = 0 -3 + -3r = 3 + 0 -3 + -3r = 3 Add '3' to each side of the equation. -3 + 3 + -3r = 3 + 3 Combine like terms: -3 + 3 = 0 0 + -3r = 3 + 3 -3r = 3 + 3 Combine like terms: 3 + 3 = 6 -3r = 6 Divide each side by '-3'. r = -2 Simplifying r = -2
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