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Simplifying -2r + 5(r + -7) = -40 + -2r Reorder the terms: -2r + 5(-7 + r) = -40 + -2r -2r + (-7 * 5 + r * 5) = -40 + -2r -2r + (-35 + 5r) = -40 + -2r Reorder the terms: -35 + -2r + 5r = -40 + -2r Combine like terms: -2r + 5r = 3r -35 + 3r = -40 + -2r Solving -35 + 3r = -40 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. -35 + 3r + 2r = -40 + -2r + 2r Combine like terms: 3r + 2r = 5r -35 + 5r = -40 + -2r + 2r Combine like terms: -2r + 2r = 0 -35 + 5r = -40 + 0 -35 + 5r = -40 Add '35' to each side of the equation. -35 + 35 + 5r = -40 + 35 Combine like terms: -35 + 35 = 0 0 + 5r = -40 + 35 5r = -40 + 35 Combine like terms: -40 + 35 = -5 5r = -5 Divide each side by '5'. r = -1 Simplifying r = -1
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