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Simplifying 2[-14 + r] + -1[-3r + -5] = 0 [-14 * 2 + r * 2] + -1[-3r + -5] = 0 [-28 + 2r] + -1[-3r + -5] = 0 Reorder the terms: -28 + 2r + -1[-5 + -3r] = 0 -28 + 2r + [-5 * -1 + -3r * -1] = 0 -28 + 2r + [5 + 3r] = 0 Reorder the terms: -28 + 5 + 2r + 3r = 0 Combine like terms: -28 + 5 = -23 -23 + 2r + 3r = 0 Combine like terms: 2r + 3r = 5r -23 + 5r = 0 Solving -23 + 5r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 5r = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 5r = 0 + 23 5r = 0 + 23 Combine like terms: 0 + 23 = 23 5r = 23 Divide each side by '5'. r = 4.6 Simplifying r = 4.6
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