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Simplifying -7 + r = 3r + 1 Reorder the terms: -7 + r = 1 + 3r Solving -7 + r = 1 + 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. -7 + r + -3r = 1 + 3r + -3r Combine like terms: r + -3r = -2r -7 + -2r = 1 + 3r + -3r Combine like terms: 3r + -3r = 0 -7 + -2r = 1 + 0 -7 + -2r = 1 Add '7' to each side of the equation. -7 + 7 + -2r = 1 + 7 Combine like terms: -7 + 7 = 0 0 + -2r = 1 + 7 -2r = 1 + 7 Combine like terms: 1 + 7 = 8 -2r = 8 Divide each side by '-2'. r = -4 Simplifying r = -4
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