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Simplifying 4(-1r + 1) + 1 = -1r + 29 Reorder the terms: 4(1 + -1r) + 1 = -1r + 29 (1 * 4 + -1r * 4) + 1 = -1r + 29 (4 + -4r) + 1 = -1r + 29 Reorder the terms: 4 + 1 + -4r = -1r + 29 Combine like terms: 4 + 1 = 5 5 + -4r = -1r + 29 Reorder the terms: 5 + -4r = 29 + -1r Solving 5 + -4r = 29 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 5 + -4r + r = 29 + -1r + r Combine like terms: -4r + r = -3r 5 + -3r = 29 + -1r + r Combine like terms: -1r + r = 0 5 + -3r = 29 + 0 5 + -3r = 29 Add '-5' to each side of the equation. 5 + -5 + -3r = 29 + -5 Combine like terms: 5 + -5 = 0 0 + -3r = 29 + -5 -3r = 29 + -5 Combine like terms: 29 + -5 = 24 -3r = 24 Divide each side by '-3'. r = -8 Simplifying r = -8
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