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Simplifying 5r + 10 = 0.6(5 + 10r) Reorder the terms: 10 + 5r = 0.6(5 + 10r) 10 + 5r = (5 * 0.6 + 10r * 0.6) 10 + 5r = (3 + 6r) Solving 10 + 5r = 3 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 10 + 5r + -6r = 3 + 6r + -6r Combine like terms: 5r + -6r = -1r 10 + -1r = 3 + 6r + -6r Combine like terms: 6r + -6r = 0 10 + -1r = 3 + 0 10 + -1r = 3 Add '-10' to each side of the equation. 10 + -10 + -1r = 3 + -10 Combine like terms: 10 + -10 = 0 0 + -1r = 3 + -10 -1r = 3 + -10 Combine like terms: 3 + -10 = -7 -1r = -7 Divide each side by '-1'. r = 7 Simplifying r = 7
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