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Simplifying 5r + 29 = -2(r + -3) + 2 Reorder the terms: 29 + 5r = -2(r + -3) + 2 Reorder the terms: 29 + 5r = -2(-3 + r) + 2 29 + 5r = (-3 * -2 + r * -2) + 2 29 + 5r = (6 + -2r) + 2 Reorder the terms: 29 + 5r = 6 + 2 + -2r Combine like terms: 6 + 2 = 8 29 + 5r = 8 + -2r Solving 29 + 5r = 8 + -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 + 5r + 2r = 8 + -2r + 2r Combine like terms: 5r + 2r = 7r 29 + 7r = 8 + -2r + 2r Combine like terms: -2r + 2r = 0 29 + 7r = 8 + 0 29 + 7r = 8 Add '-29' to each side of the equation. 29 + -29 + 7r = 8 + -29 Combine like terms: 29 + -29 = 0 0 + 7r = 8 + -29 7r = 8 + -29 Combine like terms: 8 + -29 = -21 7r = -21 Divide each side by '7'. r = -3 Simplifying r = -3
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