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Simplifying 4x + -3x + r + -8 + -1x + 5r + 7 = 0 Reorder the terms: -8 + 7 + r + 5r + 4x + -3x + -1x = 0 Combine like terms: -8 + 7 = -1 -1 + r + 5r + 4x + -3x + -1x = 0 Combine like terms: r + 5r = 6r -1 + 6r + 4x + -3x + -1x = 0 Combine like terms: 4x + -3x = 1x -1 + 6r + 1x + -1x = 0 Combine like terms: 1x + -1x = 0 -1 + 6r + 0 = 0 -1 + 6r = 0 Solving -1 + 6r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 6r = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6r = 0 + 1 6r = 0 + 1 Combine like terms: 0 + 1 = 1 6r = 1 Divide each side by '6'. r = 0.1666666667 Simplifying r = 0.1666666667
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