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Simplifying -6r + 2(r + 2) + -5 = 0 Reorder the terms: -6r + 2(2 + r) + -5 = 0 -6r + (2 * 2 + r * 2) + -5 = 0 -6r + (4 + 2r) + -5 = 0 Reorder the terms: 4 + -5 + -6r + 2r = 0 Combine like terms: 4 + -5 = -1 -1 + -6r + 2r = 0 Combine like terms: -6r + 2r = -4r -1 + -4r = 0 Solving -1 + -4r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -4r = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4r = 0 + 1 -4r = 0 + 1 Combine like terms: 0 + 1 = 1 -4r = 1 Divide each side by '-4'. r = -0.25 Simplifying r = -0.25
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