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Simplifying 7(14r + 28) = 2(r + 2) Reorder the terms: 7(28 + 14r) = 2(r + 2) (28 * 7 + 14r * 7) = 2(r + 2) (196 + 98r) = 2(r + 2) Reorder the terms: 196 + 98r = 2(2 + r) 196 + 98r = (2 * 2 + r * 2) 196 + 98r = (4 + 2r) Solving 196 + 98r = 4 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 196 + 98r + -2r = 4 + 2r + -2r Combine like terms: 98r + -2r = 96r 196 + 96r = 4 + 2r + -2r Combine like terms: 2r + -2r = 0 196 + 96r = 4 + 0 196 + 96r = 4 Add '-196' to each side of the equation. 196 + -196 + 96r = 4 + -196 Combine like terms: 196 + -196 = 0 0 + 96r = 4 + -196 96r = 4 + -196 Combine like terms: 4 + -196 = -192 96r = -192 Divide each side by '96'. r = -2 Simplifying r = -2
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