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Simplifying 21 + 8r = 3(7r + 4) + -4r Reorder the terms: 21 + 8r = 3(4 + 7r) + -4r 21 + 8r = (4 * 3 + 7r * 3) + -4r 21 + 8r = (12 + 21r) + -4r Combine like terms: 21r + -4r = 17r 21 + 8r = 12 + 17r Solving 21 + 8r = 12 + 17r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-17r' to each side of the equation. 21 + 8r + -17r = 12 + 17r + -17r Combine like terms: 8r + -17r = -9r 21 + -9r = 12 + 17r + -17r Combine like terms: 17r + -17r = 0 21 + -9r = 12 + 0 21 + -9r = 12 Add '-21' to each side of the equation. 21 + -21 + -9r = 12 + -21 Combine like terms: 21 + -21 = 0 0 + -9r = 12 + -21 -9r = 12 + -21 Combine like terms: 12 + -21 = -9 -9r = -9 Divide each side by '-9'. r = 1 Simplifying r = 1
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