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Simplifying -217 = -7(1 + -5r) -217 = (1 * -7 + -5r * -7) -217 = (-7 + 35r) Solving -217 = -7 + 35r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-35r' to each side of the equation. -217 + -35r = -7 + 35r + -35r Combine like terms: 35r + -35r = 0 -217 + -35r = -7 + 0 -217 + -35r = -7 Add '217' to each side of the equation. -217 + 217 + -35r = -7 + 217 Combine like terms: -217 + 217 = 0 0 + -35r = -7 + 217 -35r = -7 + 217 Combine like terms: -7 + 217 = 210 -35r = 210 Divide each side by '-35'. r = -6 Simplifying r = -6
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