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Simplifying 15 + 7r + r(r + -3) + -1r * r = 0 Reorder the terms: 15 + 7r + r(-3 + r) + -1r * r = 0 15 + 7r + (-3 * r + r * r) + -1r * r = 0 15 + 7r + (-3r + r2) + -1r * r = 0 Multiply r * r 15 + 7r + -3r + r2 + -1r2 = 0 Combine like terms: 7r + -3r = 4r 15 + 4r + r2 + -1r2 = 0 Combine like terms: r2 + -1r2 = 0 15 + 4r + 0 = 0 15 + 4r = 0 Solving 15 + 4r = 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 + -15 + 4r = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 4r = 0 + -15 4r = 0 + -15 Combine like terms: 0 + -15 = -15 4r = -15 Divide each side by '4'. r = -3.75 Simplifying r = -3.75
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