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Simplifying 2(3 + -8r) = 38 + -8r (3 * 2 + -8r * 2) = 38 + -8r (6 + -16r) = 38 + -8r Solving 6 + -16r = 38 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. 6 + -16r + 8r = 38 + -8r + 8r Combine like terms: -16r + 8r = -8r 6 + -8r = 38 + -8r + 8r Combine like terms: -8r + 8r = 0 6 + -8r = 38 + 0 6 + -8r = 38 Add '-6' to each side of the equation. 6 + -6 + -8r = 38 + -6 Combine like terms: 6 + -6 = 0 0 + -8r = 38 + -6 -8r = 38 + -6 Combine like terms: 38 + -6 = 32 -8r = 32 Divide each side by '-8'. r = -4 Simplifying r = -4
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