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Simplifying -175 = 7(5 + 5r) -175 = (5 * 7 + 5r * 7) -175 = (35 + 35r) Solving -175 = 35 + 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. -175 + -35r = 35 + 35r + -35r Combine like terms: 35r + -35r = 0 -175 + -35r = 35 + 0 -175 + -35r = 35 Add '175' to each side of the equation. -175 + 175 + -35r = 35 + 175 Combine like terms: -175 + 175 = 0 0 + -35r = 35 + 175 -35r = 35 + 175 Combine like terms: 35 + 175 = 210 -35r = 210 Divide each side by '-35'. r = -6 Simplifying r = -6
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