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Simplifying 8 + 2r + -1 = 8r + 21 + -4r Reorder the terms: 8 + -1 + 2r = 8r + 21 + -4r Combine like terms: 8 + -1 = 7 7 + 2r = 8r + 21 + -4r Reorder the terms: 7 + 2r = 21 + 8r + -4r Combine like terms: 8r + -4r = 4r 7 + 2r = 21 + 4r Solving 7 + 2r = 21 + 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. 7 + 2r + -4r = 21 + 4r + -4r Combine like terms: 2r + -4r = -2r 7 + -2r = 21 + 4r + -4r Combine like terms: 4r + -4r = 0 7 + -2r = 21 + 0 7 + -2r = 21 Add '-7' to each side of the equation. 7 + -7 + -2r = 21 + -7 Combine like terms: 7 + -7 = 0 0 + -2r = 21 + -7 -2r = 21 + -7 Combine like terms: 21 + -7 = 14 -2r = 14 Divide each side by '-2'. r = -7 Simplifying r = -7
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