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Simplifying -3(r + -5) + -2(4r + -6) + -14r = 0 Reorder the terms: -3(-5 + r) + -2(4r + -6) + -14r = 0 (-5 * -3 + r * -3) + -2(4r + -6) + -14r = 0 (15 + -3r) + -2(4r + -6) + -14r = 0 Reorder the terms: 15 + -3r + -2(-6 + 4r) + -14r = 0 15 + -3r + (-6 * -2 + 4r * -2) + -14r = 0 15 + -3r + (12 + -8r) + -14r = 0 Reorder the terms: 15 + 12 + -3r + -8r + -14r = 0 Combine like terms: 15 + 12 = 27 27 + -3r + -8r + -14r = 0 Combine like terms: -3r + -8r = -11r 27 + -11r + -14r = 0 Combine like terms: -11r + -14r = -25r 27 + -25r = 0 Solving 27 + -25r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -25r = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -25r = 0 + -27 -25r = 0 + -27 Combine like terms: 0 + -27 = -27 -25r = -27 Divide each side by '-25'. r = 1.08 Simplifying r = 1.08
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