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Simplifying -30 + 5r = -7(-2 + -7r) -30 + 5r = (-2 * -7 + -7r * -7) -30 + 5r = (14 + 49r) Solving -30 + 5r = 14 + 49r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-49r' to each side of the equation. -30 + 5r + -49r = 14 + 49r + -49r Combine like terms: 5r + -49r = -44r -30 + -44r = 14 + 49r + -49r Combine like terms: 49r + -49r = 0 -30 + -44r = 14 + 0 -30 + -44r = 14 Add '30' to each side of the equation. -30 + 30 + -44r = 14 + 30 Combine like terms: -30 + 30 = 0 0 + -44r = 14 + 30 -44r = 14 + 30 Combine like terms: 14 + 30 = 44 -44r = 44 Divide each side by '-44'. r = -1 Simplifying r = -1
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