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