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Simplifying -10 + 2r = 10r + -12 + -6r Reorder the terms: -10 + 2r = -12 + 10r + -6r Combine like terms: 10r + -6r = 4r -10 + 2r = -12 + 4r Solving -10 + 2r = -12 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -10 + 2r + -4r = -12 + 4r + -4r Combine like terms: 2r + -4r = -2r -10 + -2r = -12 + 4r + -4r Combine like terms: 4r + -4r = 0 -10 + -2r = -12 + 0 -10 + -2r = -12 Add '10' to each side of the equation. -10 + 10 + -2r = -12 + 10 Combine like terms: -10 + 10 = 0 0 + -2r = -12 + 10 -2r = -12 + 10 Combine like terms: -12 + 10 = -2 -2r = -2 Divide each side by '-2'. r = 1 Simplifying r = 1
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