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Simplifying 5(r + -7) = -5(r + -7) Reorder the terms: 5(-7 + r) = -5(r + -7) (-7 * 5 + r * 5) = -5(r + -7) (-35 + 5r) = -5(r + -7) Reorder the terms: -35 + 5r = -5(-7 + r) -35 + 5r = (-7 * -5 + r * -5) -35 + 5r = (35 + -5r) Solving -35 + 5r = 35 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. -35 + 5r + 5r = 35 + -5r + 5r Combine like terms: 5r + 5r = 10r -35 + 10r = 35 + -5r + 5r Combine like terms: -5r + 5r = 0 -35 + 10r = 35 + 0 -35 + 10r = 35 Add '35' to each side of the equation. -35 + 35 + 10r = 35 + 35 Combine like terms: -35 + 35 = 0 0 + 10r = 35 + 35 10r = 35 + 35 Combine like terms: 35 + 35 = 70 10r = 70 Divide each side by '10'. r = 7 Simplifying r = 7
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