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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 = -9 -9 + 2r + -6r = 0 Combine like terms: 2r + -6r = -4r -9 + -4r = 0 Solving -9 + -4r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -4r = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4r = 0 + 9 -4r = 0 + 9 Combine like terms: 0 + 9 = 9 -4r = 9 Divide each side by '-4'. r = -2.25 Simplifying r = -2.25
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