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Simplifying 10(r + 4) = 2(r + 10) Reorder the terms: 10(4 + r) = 2(r + 10) (4 * 10 + r * 10) = 2(r + 10) (40 + 10r) = 2(r + 10) Reorder the terms: 40 + 10r = 2(10 + r) 40 + 10r = (10 * 2 + r * 2) 40 + 10r = (20 + 2r) Solving 40 + 10r = 20 + 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. 40 + 10r + -2r = 20 + 2r + -2r Combine like terms: 10r + -2r = 8r 40 + 8r = 20 + 2r + -2r Combine like terms: 2r + -2r = 0 40 + 8r = 20 + 0 40 + 8r = 20 Add '-40' to each side of the equation. 40 + -40 + 8r = 20 + -40 Combine like terms: 40 + -40 = 0 0 + 8r = 20 + -40 8r = 20 + -40 Combine like terms: 20 + -40 = -20 8r = -20 Divide each side by '8'. r = -2.5 Simplifying r = -2.5
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