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