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Simplifying -286 = -7(1 + 5r) + 1 -286 = (1 * -7 + 5r * -7) + 1 -286 = (-7 + -35r) + 1 Reorder the terms: -286 = -7 + 1 + -35r Combine like terms: -7 + 1 = -6 -286 = -6 + -35r Solving -286 = -6 + -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. -286 + 35r = -6 + -35r + 35r Combine like terms: -35r + 35r = 0 -286 + 35r = -6 + 0 -286 + 35r = -6 Add '286' to each side of the equation. -286 + 286 + 35r = -6 + 286 Combine like terms: -286 + 286 = 0 0 + 35r = -6 + 286 35r = -6 + 286 Combine like terms: -6 + 286 = 280 35r = 280 Divide each side by '35'. r = 8 Simplifying r = 8
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