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Simplifying (2r + -13) + -1(-6r + 4) = 0 Reorder the terms: (-13 + 2r) + -1(-6r + 4) = 0 Remove parenthesis around (-13 + 2r) -13 + 2r + -1(-6r + 4) = 0 Reorder the terms: -13 + 2r + -1(4 + -6r) = 0 -13 + 2r + (4 * -1 + -6r * -1) = 0 -13 + 2r + (-4 + 6r) = 0 Reorder the terms: -13 + -4 + 2r + 6r = 0 Combine like terms: -13 + -4 = -17 -17 + 2r + 6r = 0 Combine like terms: 2r + 6r = 8r -17 + 8r = 0 Solving -17 + 8r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 8r = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 8r = 0 + 17 8r = 0 + 17 Combine like terms: 0 + 17 = 17 8r = 17 Divide each side by '8'. r = 2.125 Simplifying r = 2.125
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