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Simplifying -4 + r = 6 + 1 + 3r + 1 Reorder the terms: -4 + r = 6 + 1 + 1 + 3r Combine like terms: 6 + 1 = 7 -4 + r = 7 + 1 + 3r Combine like terms: 7 + 1 = 8 -4 + r = 8 + 3r Solving -4 + r = 8 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -4 + r + -3r = 8 + 3r + -3r Combine like terms: r + -3r = -2r -4 + -2r = 8 + 3r + -3r Combine like terms: 3r + -3r = 0 -4 + -2r = 8 + 0 -4 + -2r = 8 Add '4' to each side of the equation. -4 + 4 + -2r = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -2r = 8 + 4 -2r = 8 + 4 Combine like terms: 8 + 4 = 12 -2r = 12 Divide each side by '-2'. r = -6 Simplifying r = -6
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