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Simplifying -3r + 5 + 2 + -14 = 1 + -1r + 4 Reorder the terms: 5 + 2 + -14 + -3r = 1 + -1r + 4 Combine like terms: 5 + 2 = 7 7 + -14 + -3r = 1 + -1r + 4 Combine like terms: 7 + -14 = -7 -7 + -3r = 1 + -1r + 4 Reorder the terms: -7 + -3r = 1 + 4 + -1r Combine like terms: 1 + 4 = 5 -7 + -3r = 5 + -1r Solving -7 + -3r = 5 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. -7 + -3r + r = 5 + -1r + r Combine like terms: -3r + r = -2r -7 + -2r = 5 + -1r + r Combine like terms: -1r + r = 0 -7 + -2r = 5 + 0 -7 + -2r = 5 Add '7' to each side of the equation. -7 + 7 + -2r = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -2r = 5 + 7 -2r = 5 + 7 Combine like terms: 5 + 7 = 12 -2r = 12 Divide each side by '-2'. r = -6 Simplifying r = -6
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