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Simplifying -9 + -4r + -6r = 4 + 6r + 3 Combine like terms: -4r + -6r = -10r -9 + -10r = 4 + 6r + 3 Reorder the terms: -9 + -10r = 4 + 3 + 6r Combine like terms: 4 + 3 = 7 -9 + -10r = 7 + 6r Solving -9 + -10r = 7 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -9 + -10r + -6r = 7 + 6r + -6r Combine like terms: -10r + -6r = -16r -9 + -16r = 7 + 6r + -6r Combine like terms: 6r + -6r = 0 -9 + -16r = 7 + 0 -9 + -16r = 7 Add '9' to each side of the equation. -9 + 9 + -16r = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -16r = 7 + 9 -16r = 7 + 9 Combine like terms: 7 + 9 = 16 -16r = 16 Divide each side by '-16'. r = -1 Simplifying r = -1
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