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Simplifying (-3r + 4r2 + -3) + -1(4r2 + 6r + -2) = 0 Reorder the terms: (-3 + -3r + 4r2) + -1(4r2 + 6r + -2) = 0 Remove parenthesis around (-3 + -3r + 4r2) -3 + -3r + 4r2 + -1(4r2 + 6r + -2) = 0 Reorder the terms: -3 + -3r + 4r2 + -1(-2 + 6r + 4r2) = 0 -3 + -3r + 4r2 + (-2 * -1 + 6r * -1 + 4r2 * -1) = 0 -3 + -3r + 4r2 + (2 + -6r + -4r2) = 0 Reorder the terms: -3 + 2 + -3r + -6r + 4r2 + -4r2 = 0 Combine like terms: -3 + 2 = -1 -1 + -3r + -6r + 4r2 + -4r2 = 0 Combine like terms: -3r + -6r = -9r -1 + -9r + 4r2 + -4r2 = 0 Combine like terms: 4r2 + -4r2 = 0 -1 + -9r + 0 = 0 -1 + -9r = 0 Solving -1 + -9r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -9r = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -9r = 0 + 1 -9r = 0 + 1 Combine like terms: 0 + 1 = 1 -9r = 1 Divide each side by '-9'. r = -0.1111111111 Simplifying r = -0.1111111111
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