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Simplifying 8r + -11 + -12r = 4 + -3r + -16 Reorder the terms: -11 + 8r + -12r = 4 + -3r + -16 Combine like terms: 8r + -12r = -4r -11 + -4r = 4 + -3r + -16 Reorder the terms: -11 + -4r = 4 + -16 + -3r Combine like terms: 4 + -16 = -12 -11 + -4r = -12 + -3r Solving -11 + -4r = -12 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. -11 + -4r + 3r = -12 + -3r + 3r Combine like terms: -4r + 3r = -1r -11 + -1r = -12 + -3r + 3r Combine like terms: -3r + 3r = 0 -11 + -1r = -12 + 0 -11 + -1r = -12 Add '11' to each side of the equation. -11 + 11 + -1r = -12 + 11 Combine like terms: -11 + 11 = 0 0 + -1r = -12 + 11 -1r = -12 + 11 Combine like terms: -12 + 11 = -1 -1r = -1 Divide each side by '-1'. r = 1 Simplifying r = 1
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