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Simplifying 29 + -1r = 6 + -2(r + -8) Reorder the terms: 29 + -1r = 6 + -2(-8 + r) 29 + -1r = 6 + (-8 * -2 + r * -2) 29 + -1r = 6 + (16 + -2r) Combine like terms: 6 + 16 = 22 29 + -1r = 22 + -2r Solving 29 + -1r = 22 + -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. 29 + -1r + 2r = 22 + -2r + 2r Combine like terms: -1r + 2r = 1r 29 + 1r = 22 + -2r + 2r Combine like terms: -2r + 2r = 0 29 + 1r = 22 + 0 29 + 1r = 22 Add '-29' to each side of the equation. 29 + -29 + 1r = 22 + -29 Combine like terms: 29 + -29 = 0 0 + 1r = 22 + -29 1r = 22 + -29 Combine like terms: 22 + -29 = -7 1r = -7 Divide each side by '1'. r = -7 Simplifying r = -7
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