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Simplifying 6r + -4 = r + 4r + -7 Reorder the terms: -4 + 6r = r + 4r + -7 Reorder the terms: -4 + 6r = -7 + r + 4r Combine like terms: r + 4r = 5r -4 + 6r = -7 + 5r Solving -4 + 6r = -7 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -4 + 6r + -5r = -7 + 5r + -5r Combine like terms: 6r + -5r = 1r -4 + 1r = -7 + 5r + -5r Combine like terms: 5r + -5r = 0 -4 + 1r = -7 + 0 -4 + 1r = -7 Add '4' to each side of the equation. -4 + 4 + 1r = -7 + 4 Combine like terms: -4 + 4 = 0 0 + 1r = -7 + 4 1r = -7 + 4 Combine like terms: -7 + 4 = -3 1r = -3 Divide each side by '1'. r = -3 Simplifying r = -3
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