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Simplifying 2(r + -2) = 7(r + 10) Reorder the terms: 2(-2 + r) = 7(r + 10) (-2 * 2 + r * 2) = 7(r + 10) (-4 + 2r) = 7(r + 10) Reorder the terms: -4 + 2r = 7(10 + r) -4 + 2r = (10 * 7 + r * 7) -4 + 2r = (70 + 7r) Solving -4 + 2r = 70 + 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. -4 + 2r + -7r = 70 + 7r + -7r Combine like terms: 2r + -7r = -5r -4 + -5r = 70 + 7r + -7r Combine like terms: 7r + -7r = 0 -4 + -5r = 70 + 0 -4 + -5r = 70 Add '4' to each side of the equation. -4 + 4 + -5r = 70 + 4 Combine like terms: -4 + 4 = 0 0 + -5r = 70 + 4 -5r = 70 + 4 Combine like terms: 70 + 4 = 74 -5r = 74 Divide each side by '-5'. r = -14.8 Simplifying r = -14.8
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