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Simplifying -4r + -1 = -7 + -3r Reorder the terms: -1 + -4r = -7 + -3r Solving -1 + -4r = -7 + -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 + -4r + 3r = -7 + -3r + 3r Combine like terms: -4r + 3r = -1r -1 + -1r = -7 + -3r + 3r Combine like terms: -3r + 3r = 0 -1 + -1r = -7 + 0 -1 + -1r = -7 Add '1' to each side of the equation. -1 + 1 + -1r = -7 + 1 Combine like terms: -1 + 1 = 0 0 + -1r = -7 + 1 -1r = -7 + 1 Combine like terms: -7 + 1 = -6 -1r = -6 Divide each side by '-1'. r = 6 Simplifying r = 6
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