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Simplifying 2(1 + -5r) = 38 + 2r (1 * 2 + -5r * 2) = 38 + 2r (2 + -10r) = 38 + 2r Solving 2 + -10r = 38 + 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. 2 + -10r + -2r = 38 + 2r + -2r Combine like terms: -10r + -2r = -12r 2 + -12r = 38 + 2r + -2r Combine like terms: 2r + -2r = 0 2 + -12r = 38 + 0 2 + -12r = 38 Add '-2' to each side of the equation. 2 + -2 + -12r = 38 + -2 Combine like terms: 2 + -2 = 0 0 + -12r = 38 + -2 -12r = 38 + -2 Combine like terms: 38 + -2 = 36 -12r = 36 Divide each side by '-12'. r = -3 Simplifying r = -3
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