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Simplifying -4(3r + -2) + -2(r + 1) = 0 Reorder the terms: -4(-2 + 3r) + -2(r + 1) = 0 (-2 * -4 + 3r * -4) + -2(r + 1) = 0 (8 + -12r) + -2(r + 1) = 0 Reorder the terms: 8 + -12r + -2(1 + r) = 0 8 + -12r + (1 * -2 + r * -2) = 0 8 + -12r + (-2 + -2r) = 0 Reorder the terms: 8 + -2 + -12r + -2r = 0 Combine like terms: 8 + -2 = 6 6 + -12r + -2r = 0 Combine like terms: -12r + -2r = -14r 6 + -14r = 0 Solving 6 + -14r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -14r = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -14r = 0 + -6 -14r = 0 + -6 Combine like terms: 0 + -6 = -6 -14r = -6 Divide each side by '-14'. r = 0.4285714286 Simplifying r = 0.4285714286
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