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Simplifying 2(3r + -7) + -1(2 + r) = 0 Reorder the terms: 2(-7 + 3r) + -1(2 + r) = 0 (-7 * 2 + 3r * 2) + -1(2 + r) = 0 (-14 + 6r) + -1(2 + r) = 0 -14 + 6r + (2 * -1 + r * -1) = 0 -14 + 6r + (-2 + -1r) = 0 Reorder the terms: -14 + -2 + 6r + -1r = 0 Combine like terms: -14 + -2 = -16 -16 + 6r + -1r = 0 Combine like terms: 6r + -1r = 5r -16 + 5r = 0 Solving -16 + 5r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 5r = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 5r = 0 + 16 5r = 0 + 16 Combine like terms: 0 + 16 = 16 5r = 16 Divide each side by '5'. r = 3.2 Simplifying r = 3.2
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