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Simplifying 176 = 2 + 6(1 + 4r) 176 = 2 + (1 * 6 + 4r * 6) 176 = 2 + (6 + 24r) Combine like terms: 2 + 6 = 8 176 = 8 + 24r Solving 176 = 8 + 24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24r' to each side of the equation. 176 + -24r = 8 + 24r + -24r Combine like terms: 24r + -24r = 0 176 + -24r = 8 + 0 176 + -24r = 8 Add '-176' to each side of the equation. 176 + -176 + -24r = 8 + -176 Combine like terms: 176 + -176 = 0 0 + -24r = 8 + -176 -24r = 8 + -176 Combine like terms: 8 + -176 = -168 -24r = -168 Divide each side by '-24'. r = 7 Simplifying r = 7
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