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Simplifying 5r + 6 + -21 = 7r + -10 Reorder the terms: 6 + -21 + 5r = 7r + -10 Combine like terms: 6 + -21 = -15 -15 + 5r = 7r + -10 Reorder the terms: -15 + 5r = -10 + 7r Solving -15 + 5r = -10 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. -15 + 5r + -7r = -10 + 7r + -7r Combine like terms: 5r + -7r = -2r -15 + -2r = -10 + 7r + -7r Combine like terms: 7r + -7r = 0 -15 + -2r = -10 + 0 -15 + -2r = -10 Add '15' to each side of the equation. -15 + 15 + -2r = -10 + 15 Combine like terms: -15 + 15 = 0 0 + -2r = -10 + 15 -2r = -10 + 15 Combine like terms: -10 + 15 = 5 -2r = 5 Divide each side by '-2'. r = -2.5 Simplifying r = -2.5
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