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Simplifying 6r + -28 = -46 + 4r Reorder the terms: -28 + 6r = -46 + 4r Solving -28 + 6r = -46 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -28 + 6r + -4r = -46 + 4r + -4r Combine like terms: 6r + -4r = 2r -28 + 2r = -46 + 4r + -4r Combine like terms: 4r + -4r = 0 -28 + 2r = -46 + 0 -28 + 2r = -46 Add '28' to each side of the equation. -28 + 28 + 2r = -46 + 28 Combine like terms: -28 + 28 = 0 0 + 2r = -46 + 28 2r = -46 + 28 Combine like terms: -46 + 28 = -18 2r = -18 Divide each side by '2'. r = -9 Simplifying r = -9
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