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Simplifying 11r + -5(x + 3) + -6x = 0 Reorder the terms: 11r + -5(3 + x) + -6x = 0 11r + (3 * -5 + x * -5) + -6x = 0 11r + (-15 + -5x) + -6x = 0 Reorder the terms: -15 + 11r + -5x + -6x = 0 Combine like terms: -5x + -6x = -11x -15 + 11r + -11x = 0 Solving -15 + 11r + -11x = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 11r + 15 + -11x = 0 + 15 Reorder the terms: -15 + 15 + 11r + -11x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 11r + -11x = 0 + 15 11r + -11x = 0 + 15 Combine like terms: 0 + 15 = 15 11r + -11x = 15 Add '11x' to each side of the equation. 11r + -11x + 11x = 15 + 11x Combine like terms: -11x + 11x = 0 11r + 0 = 15 + 11x 11r = 15 + 11x Divide each side by '11'. r = 1.363636364 + x Simplifying r = 1.363636364 + x
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