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Simplifying -5 + 6r = -1(2r + -6) Reorder the terms: -5 + 6r = -1(-6 + 2r) -5 + 6r = (-6 * -1 + 2r * -1) -5 + 6r = (6 + -2r) Solving -5 + 6r = 6 + -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. -5 + 6r + 2r = 6 + -2r + 2r Combine like terms: 6r + 2r = 8r -5 + 8r = 6 + -2r + 2r Combine like terms: -2r + 2r = 0 -5 + 8r = 6 + 0 -5 + 8r = 6 Add '5' to each side of the equation. -5 + 5 + 8r = 6 + 5 Combine like terms: -5 + 5 = 0 0 + 8r = 6 + 5 8r = 6 + 5 Combine like terms: 6 + 5 = 11 8r = 11 Divide each side by '8'. r = 1.375 Simplifying r = 1.375
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