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Simplifying -40 = 5(7r + -1) Reorder the terms: -40 = 5(-1 + 7r) -40 = (-1 * 5 + 7r * 5) -40 = (-5 + 35r) Solving -40 = -5 + 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. -40 + -35r = -5 + 35r + -35r Combine like terms: 35r + -35r = 0 -40 + -35r = -5 + 0 -40 + -35r = -5 Add '40' to each side of the equation. -40 + 40 + -35r = -5 + 40 Combine like terms: -40 + 40 = 0 0 + -35r = -5 + 40 -35r = -5 + 40 Combine like terms: -5 + 40 = 35 -35r = 35 Divide each side by '-35'. r = -1 Simplifying r = -1
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