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Simplifying 8r + -6 = 4r + 8r + 12 Reorder the terms: -6 + 8r = 4r + 8r + 12 Reorder the terms: -6 + 8r = 12 + 4r + 8r Combine like terms: 4r + 8r = 12r -6 + 8r = 12 + 12r Solving -6 + 8r = 12 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. -6 + 8r + -12r = 12 + 12r + -12r Combine like terms: 8r + -12r = -4r -6 + -4r = 12 + 12r + -12r Combine like terms: 12r + -12r = 0 -6 + -4r = 12 + 0 -6 + -4r = 12 Add '6' to each side of the equation. -6 + 6 + -4r = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -4r = 12 + 6 -4r = 12 + 6 Combine like terms: 12 + 6 = 18 -4r = 18 Divide each side by '-4'. r = -4.5 Simplifying r = -4.5
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