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Simplifying [-8r + -2] + [4r + -3] = 0 Reorder the terms: [-2 + -8r] + [4r + -3] = 0 Remove brackets around [-2 + -8r] -2 + -8r + [4r + -3] = 0 Reorder the terms: -2 + -8r + [-3 + 4r] = 0 Remove brackets around [-3 + 4r] -2 + -8r + -3 + 4r = 0 Reorder the terms: -2 + -3 + -8r + 4r = 0 Combine like terms: -2 + -3 = -5 -5 + -8r + 4r = 0 Combine like terms: -8r + 4r = -4r -5 + -4r = 0 Solving -5 + -4r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -4r = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4r = 0 + 5 -4r = 0 + 5 Combine like terms: 0 + 5 = 5 -4r = 5 Divide each side by '-4'. r = -1.25 Simplifying r = -1.25
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