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Simplifying 35 = -5(-1r + -2) + 4(1 + 4r) Reorder the terms: 35 = -5(-2 + -1r) + 4(1 + 4r) 35 = (-2 * -5 + -1r * -5) + 4(1 + 4r) 35 = (10 + 5r) + 4(1 + 4r) 35 = 10 + 5r + (1 * 4 + 4r * 4) 35 = 10 + 5r + (4 + 16r) Reorder the terms: 35 = 10 + 4 + 5r + 16r Combine like terms: 10 + 4 = 14 35 = 14 + 5r + 16r Combine like terms: 5r + 16r = 21r 35 = 14 + 21r Solving 35 = 14 + 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. 35 + -21r = 14 + 21r + -21r Combine like terms: 21r + -21r = 0 35 + -21r = 14 + 0 35 + -21r = 14 Add '-35' to each side of the equation. 35 + -35 + -21r = 14 + -35 Combine like terms: 35 + -35 = 0 0 + -21r = 14 + -35 -21r = 14 + -35 Combine like terms: 14 + -35 = -21 -21r = -21 Divide each side by '-21'. r = 1 Simplifying r = 1
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