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Simplifying r + -8 = 5r + -3r + -12 Reorder the terms: -8 + r = 5r + -3r + -12 Reorder the terms: -8 + r = -12 + 5r + -3r Combine like terms: 5r + -3r = 2r -8 + r = -12 + 2r Solving -8 + r = -12 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -8 + r + -2r = -12 + 2r + -2r Combine like terms: r + -2r = -1r -8 + -1r = -12 + 2r + -2r Combine like terms: 2r + -2r = 0 -8 + -1r = -12 + 0 -8 + -1r = -12 Add '8' to each side of the equation. -8 + 8 + -1r = -12 + 8 Combine like terms: -8 + 8 = 0 0 + -1r = -12 + 8 -1r = -12 + 8 Combine like terms: -12 + 8 = -4 -1r = -4 Divide each side by '-1'. r = 4 Simplifying r = 4
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