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Simplifying 6r + -21 = -7 + 8r Reorder the terms: -21 + 6r = -7 + 8r Solving -21 + 6r = -7 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -21 + 6r + -8r = -7 + 8r + -8r Combine like terms: 6r + -8r = -2r -21 + -2r = -7 + 8r + -8r Combine like terms: 8r + -8r = 0 -21 + -2r = -7 + 0 -21 + -2r = -7 Add '21' to each side of the equation. -21 + 21 + -2r = -7 + 21 Combine like terms: -21 + 21 = 0 0 + -2r = -7 + 21 -2r = -7 + 21 Combine like terms: -7 + 21 = 14 -2r = 14 Divide each side by '-2'. r = -7 Simplifying r = -7
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