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