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Simplifying 2(2r + -1) + 30 = 3(r + 7) Reorder the terms: 2(-1 + 2r) + 30 = 3(r + 7) (-1 * 2 + 2r * 2) + 30 = 3(r + 7) (-2 + 4r) + 30 = 3(r + 7) Reorder the terms: -2 + 30 + 4r = 3(r + 7) Combine like terms: -2 + 30 = 28 28 + 4r = 3(r + 7) Reorder the terms: 28 + 4r = 3(7 + r) 28 + 4r = (7 * 3 + r * 3) 28 + 4r = (21 + 3r) Solving 28 + 4r = 21 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 28 + 4r + -3r = 21 + 3r + -3r Combine like terms: 4r + -3r = 1r 28 + 1r = 21 + 3r + -3r Combine like terms: 3r + -3r = 0 28 + 1r = 21 + 0 28 + 1r = 21 Add '-28' to each side of the equation. 28 + -28 + 1r = 21 + -28 Combine like terms: 28 + -28 = 0 0 + 1r = 21 + -28 1r = 21 + -28 Combine like terms: 21 + -28 = -7 1r = -7 Divide each side by '1'. r = -7 Simplifying r = -7
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