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Simplifying 7(5 + 3r) = -22 + 2r (5 * 7 + 3r * 7) = -22 + 2r (35 + 21r) = -22 + 2r Solving 35 + 21r = -22 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 35 + 21r + -2r = -22 + 2r + -2r Combine like terms: 21r + -2r = 19r 35 + 19r = -22 + 2r + -2r Combine like terms: 2r + -2r = 0 35 + 19r = -22 + 0 35 + 19r = -22 Add '-35' to each side of the equation. 35 + -35 + 19r = -22 + -35 Combine like terms: 35 + -35 = 0 0 + 19r = -22 + -35 19r = -22 + -35 Combine like terms: -22 + -35 = -57 19r = -57 Divide each side by '19'. r = -3 Simplifying r = -3
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