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Simplifying -4r + 7r + -3 + 5r = 100 + -7 Reorder the terms: -3 + -4r + 7r + 5r = 100 + -7 Combine like terms: -4r + 7r = 3r -3 + 3r + 5r = 100 + -7 Combine like terms: 3r + 5r = 8r -3 + 8r = 100 + -7 Combine like terms: 100 + -7 = 93 -3 + 8r = 93 Solving -3 + 8r = 93 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 8r = 93 + 3 Combine like terms: -3 + 3 = 0 0 + 8r = 93 + 3 8r = 93 + 3 Combine like terms: 93 + 3 = 96 8r = 96 Divide each side by '8'. r = 12 Simplifying r = 12
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