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Simplifying 39 + 6r = 6 + -3(-3 + -6r) 39 + 6r = 6 + (-3 * -3 + -6r * -3) 39 + 6r = 6 + (9 + 18r) Combine like terms: 6 + 9 = 15 39 + 6r = 15 + 18r Solving 39 + 6r = 15 + 18r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-18r' to each side of the equation. 39 + 6r + -18r = 15 + 18r + -18r Combine like terms: 6r + -18r = -12r 39 + -12r = 15 + 18r + -18r Combine like terms: 18r + -18r = 0 39 + -12r = 15 + 0 39 + -12r = 15 Add '-39' to each side of the equation. 39 + -39 + -12r = 15 + -39 Combine like terms: 39 + -39 = 0 0 + -12r = 15 + -39 -12r = 15 + -39 Combine like terms: 15 + -39 = -24 -12r = -24 Divide each side by '-12'. r = 2 Simplifying r = 2
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