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Simplifying 9r + -4 = -46 + 3r Reorder the terms: -4 + 9r = -46 + 3r Solving -4 + 9r = -46 + 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. -4 + 9r + -3r = -46 + 3r + -3r Combine like terms: 9r + -3r = 6r -4 + 6r = -46 + 3r + -3r Combine like terms: 3r + -3r = 0 -4 + 6r = -46 + 0 -4 + 6r = -46 Add '4' to each side of the equation. -4 + 4 + 6r = -46 + 4 Combine like terms: -4 + 4 = 0 0 + 6r = -46 + 4 6r = -46 + 4 Combine like terms: -46 + 4 = -42 6r = -42 Divide each side by '6'. r = -7 Simplifying r = -7
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