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Simplifying -34 + 2r = 7(r + -7) Reorder the terms: -34 + 2r = 7(-7 + r) -34 + 2r = (-7 * 7 + r * 7) -34 + 2r = (-49 + 7r) Solving -34 + 2r = -49 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. -34 + 2r + -7r = -49 + 7r + -7r Combine like terms: 2r + -7r = -5r -34 + -5r = -49 + 7r + -7r Combine like terms: 7r + -7r = 0 -34 + -5r = -49 + 0 -34 + -5r = -49 Add '34' to each side of the equation. -34 + 34 + -5r = -49 + 34 Combine like terms: -34 + 34 = 0 0 + -5r = -49 + 34 -5r = -49 + 34 Combine like terms: -49 + 34 = -15 -5r = -15 Divide each side by '-5'. r = 3 Simplifying r = 3
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