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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 = -4r -17 + -4r = 0 Solving -17 + -4r = 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 + -4r = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -4r = 0 + 17 -4r = 0 + 17 Combine like terms: 0 + 17 = 17 -4r = 17 Divide each side by '-4'. r = -4.25 Simplifying r = -4.25
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