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Simplifying r + 2 + -6 + -3 = 4r + 8 Reorder the terms: 2 + -6 + -3 + r = 4r + 8 Combine like terms: 2 + -6 = -4 -4 + -3 + r = 4r + 8 Combine like terms: -4 + -3 = -7 -7 + r = 4r + 8 Reorder the terms: -7 + r = 8 + 4r Solving -7 + r = 8 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -7 + r + -4r = 8 + 4r + -4r Combine like terms: r + -4r = -3r -7 + -3r = 8 + 4r + -4r Combine like terms: 4r + -4r = 0 -7 + -3r = 8 + 0 -7 + -3r = 8 Add '7' to each side of the equation. -7 + 7 + -3r = 8 + 7 Combine like terms: -7 + 7 = 0 0 + -3r = 8 + 7 -3r = 8 + 7 Combine like terms: 8 + 7 = 15 -3r = 15 Divide each side by '-3'. r = -5 Simplifying r = -5
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