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Simplifying 6 + -6r + -10 = 3 + -5r Reorder the terms: 6 + -10 + -6r = 3 + -5r Combine like terms: 6 + -10 = -4 -4 + -6r = 3 + -5r Solving -4 + -6r = 3 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. -4 + -6r + 5r = 3 + -5r + 5r Combine like terms: -6r + 5r = -1r -4 + -1r = 3 + -5r + 5r Combine like terms: -5r + 5r = 0 -4 + -1r = 3 + 0 -4 + -1r = 3 Add '4' to each side of the equation. -4 + 4 + -1r = 3 + 4 Combine like terms: -4 + 4 = 0 0 + -1r = 3 + 4 -1r = 3 + 4 Combine like terms: 3 + 4 = 7 -1r = 7 Divide each side by '-1'. r = -7 Simplifying r = -7
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