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Simplifying -1(1 + 3r) = -21 + -7r (1 * -1 + 3r * -1) = -21 + -7r (-1 + -3r) = -21 + -7r Solving -1 + -3r = -21 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. -1 + -3r + 7r = -21 + -7r + 7r Combine like terms: -3r + 7r = 4r -1 + 4r = -21 + -7r + 7r Combine like terms: -7r + 7r = 0 -1 + 4r = -21 + 0 -1 + 4r = -21 Add '1' to each side of the equation. -1 + 1 + 4r = -21 + 1 Combine like terms: -1 + 1 = 0 0 + 4r = -21 + 1 4r = -21 + 1 Combine like terms: -21 + 1 = -20 4r = -20 Divide each side by '4'. r = -5 Simplifying r = -5
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