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Simplifying -10 + r + 4 + -5 = 7r + -5 Reorder the terms: -10 + 4 + -5 + r = 7r + -5 Combine like terms: -10 + 4 = -6 -6 + -5 + r = 7r + -5 Combine like terms: -6 + -5 = -11 -11 + r = 7r + -5 Reorder the terms: -11 + r = -5 + 7r Solving -11 + r = -5 + 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. -11 + r + -7r = -5 + 7r + -7r Combine like terms: r + -7r = -6r -11 + -6r = -5 + 7r + -7r Combine like terms: 7r + -7r = 0 -11 + -6r = -5 + 0 -11 + -6r = -5 Add '11' to each side of the equation. -11 + 11 + -6r = -5 + 11 Combine like terms: -11 + 11 = 0 0 + -6r = -5 + 11 -6r = -5 + 11 Combine like terms: -5 + 11 = 6 -6r = 6 Divide each side by '-6'. r = -1 Simplifying r = -1
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