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Simplifying 4r + -5 = 6r + 7 Reorder the terms: -5 + 4r = 6r + 7 Reorder the terms: -5 + 4r = 7 + 6r Solving -5 + 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. -5 + 4r + -6r = 7 + 6r + -6r Combine like terms: 4r + -6r = -2r -5 + -2r = 7 + 6r + -6r Combine like terms: 6r + -6r = 0 -5 + -2r = 7 + 0 -5 + -2r = 7 Add '5' to each side of the equation. -5 + 5 + -2r = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -2r = 7 + 5 -2r = 7 + 5 Combine like terms: 7 + 5 = 12 -2r = 12 Divide each side by '-2'. r = -6 Simplifying r = -6
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