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Simplifying 3(5r + 5) + -4(r + -3) = 0 Reorder the terms: 3(5 + 5r) + -4(r + -3) = 0 (5 * 3 + 5r * 3) + -4(r + -3) = 0 (15 + 15r) + -4(r + -3) = 0 Reorder the terms: 15 + 15r + -4(-3 + r) = 0 15 + 15r + (-3 * -4 + r * -4) = 0 15 + 15r + (12 + -4r) = 0 Reorder the terms: 15 + 12 + 15r + -4r = 0 Combine like terms: 15 + 12 = 27 27 + 15r + -4r = 0 Combine like terms: 15r + -4r = 11r 27 + 11r = 0 Solving 27 + 11r = 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 + 11r = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 11r = 0 + -27 11r = 0 + -27 Combine like terms: 0 + -27 = -27 11r = -27 Divide each side by '11'. r = -2.454545455 Simplifying r = -2.454545455
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