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Simplifying -4r + -12 = 36 + 12r + -10r Reorder the terms: -12 + -4r = 36 + 12r + -10r Combine like terms: 12r + -10r = 2r -12 + -4r = 36 + 2r Solving -12 + -4r = 36 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -12 + -4r + -2r = 36 + 2r + -2r Combine like terms: -4r + -2r = -6r -12 + -6r = 36 + 2r + -2r Combine like terms: 2r + -2r = 0 -12 + -6r = 36 + 0 -12 + -6r = 36 Add '12' to each side of the equation. -12 + 12 + -6r = 36 + 12 Combine like terms: -12 + 12 = 0 0 + -6r = 36 + 12 -6r = 36 + 12 Combine like terms: 36 + 12 = 48 -6r = 48 Divide each side by '-6'. r = -8 Simplifying r = -8
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