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Simplifying 2r + -21 = -42 + 9r Reorder the terms: -21 + 2r = -42 + 9r Solving -21 + 2r = -42 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. -21 + 2r + -9r = -42 + 9r + -9r Combine like terms: 2r + -9r = -7r -21 + -7r = -42 + 9r + -9r Combine like terms: 9r + -9r = 0 -21 + -7r = -42 + 0 -21 + -7r = -42 Add '21' to each side of the equation. -21 + 21 + -7r = -42 + 21 Combine like terms: -21 + 21 = 0 0 + -7r = -42 + 21 -7r = -42 + 21 Combine like terms: -42 + 21 = -21 -7r = -21 Divide each side by '-7'. r = 3 Simplifying r = 3
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