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Simplifying 4 + 4r + -3 = 9r + 7 + -3r Reorder the terms: 4 + -3 + 4r = 9r + 7 + -3r Combine like terms: 4 + -3 = 1 1 + 4r = 9r + 7 + -3r Reorder the terms: 1 + 4r = 7 + 9r + -3r Combine like terms: 9r + -3r = 6r 1 + 4r = 7 + 6r Solving 1 + 4r = 7 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 1 + 4r + -6r = 7 + 6r + -6r Combine like terms: 4r + -6r = -2r 1 + -2r = 7 + 6r + -6r Combine like terms: 6r + -6r = 0 1 + -2r = 7 + 0 1 + -2r = 7 Add '-1' to each side of the equation. 1 + -1 + -2r = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -2r = 7 + -1 -2r = 7 + -1 Combine like terms: 7 + -1 = 6 -2r = 6 Divide each side by '-2'. r = -3 Simplifying r = -3
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