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Simplifying 40 + -7r = 2(8r + 6) + 5r Reorder the terms: 40 + -7r = 2(6 + 8r) + 5r 40 + -7r = (6 * 2 + 8r * 2) + 5r 40 + -7r = (12 + 16r) + 5r Combine like terms: 16r + 5r = 21r 40 + -7r = 12 + 21r Solving 40 + -7r = 12 + 21r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-21r' to each side of the equation. 40 + -7r + -21r = 12 + 21r + -21r Combine like terms: -7r + -21r = -28r 40 + -28r = 12 + 21r + -21r Combine like terms: 21r + -21r = 0 40 + -28r = 12 + 0 40 + -28r = 12 Add '-40' to each side of the equation. 40 + -40 + -28r = 12 + -40 Combine like terms: 40 + -40 = 0 0 + -28r = 12 + -40 -28r = 12 + -40 Combine like terms: 12 + -40 = -28 -28r = -28 Divide each side by '-28'. r = 1 Simplifying r = 1
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