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Simplifying -35 + -2r = -3r + 4(2r + -7) Reorder the terms: -35 + -2r = -3r + 4(-7 + 2r) -35 + -2r = -3r + (-7 * 4 + 2r * 4) -35 + -2r = -3r + (-28 + 8r) Reorder the terms: -35 + -2r = -28 + -3r + 8r Combine like terms: -3r + 8r = 5r -35 + -2r = -28 + 5r Solving -35 + -2r = -28 + 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 + -2r + -5r = -28 + 5r + -5r Combine like terms: -2r + -5r = -7r -35 + -7r = -28 + 5r + -5r Combine like terms: 5r + -5r = 0 -35 + -7r = -28 + 0 -35 + -7r = -28 Add '35' to each side of the equation. -35 + 35 + -7r = -28 + 35 Combine like terms: -35 + 35 = 0 0 + -7r = -28 + 35 -7r = -28 + 35 Combine like terms: -28 + 35 = 7 -7r = 7 Divide each side by '-7'. r = -1 Simplifying r = -1
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