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Simplifying 209 = -7(1 + 6r) + 6r 209 = (1 * -7 + 6r * -7) + 6r 209 = (-7 + -42r) + 6r Combine like terms: -42r + 6r = -36r 209 = -7 + -36r Solving 209 = -7 + -36r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '36r' to each side of the equation. 209 + 36r = -7 + -36r + 36r Combine like terms: -36r + 36r = 0 209 + 36r = -7 + 0 209 + 36r = -7 Add '-209' to each side of the equation. 209 + -209 + 36r = -7 + -209 Combine like terms: 209 + -209 = 0 0 + 36r = -7 + -209 36r = -7 + -209 Combine like terms: -7 + -209 = -216 36r = -216 Divide each side by '36'. r = -6 Simplifying r = -6
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