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Simplifying (4r + 7) + -1(3r + -6) = 0 Reorder the terms: (7 + 4r) + -1(3r + -6) = 0 Remove parenthesis around (7 + 4r) 7 + 4r + -1(3r + -6) = 0 Reorder the terms: 7 + 4r + -1(-6 + 3r) = 0 7 + 4r + (-6 * -1 + 3r * -1) = 0 7 + 4r + (6 + -3r) = 0 Reorder the terms: 7 + 6 + 4r + -3r = 0 Combine like terms: 7 + 6 = 13 13 + 4r + -3r = 0 Combine like terms: 4r + -3r = 1r 13 + 1r = 0 Solving 13 + 1r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 1r = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 1r = 0 + -13 1r = 0 + -13 Combine like terms: 0 + -13 = -13 1r = -13 Divide each side by '1'. r = -13 Simplifying r = -13
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