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Simplifying -4 + -5r = r + 4 + -7r Reorder the terms: -4 + -5r = 4 + r + -7r Combine like terms: r + -7r = -6r -4 + -5r = 4 + -6r Solving -4 + -5r = 4 + -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. -4 + -5r + 6r = 4 + -6r + 6r Combine like terms: -5r + 6r = 1r -4 + 1r = 4 + -6r + 6r Combine like terms: -6r + 6r = 0 -4 + 1r = 4 + 0 -4 + 1r = 4 Add '4' to each side of the equation. -4 + 4 + 1r = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 1r = 4 + 4 1r = 4 + 4 Combine like terms: 4 + 4 = 8 1r = 8 Divide each side by '1'. r = 8 Simplifying r = 8
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