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Simplifying 2(3r + -1) + -4(5r + 3) + -14r = 0 Reorder the terms: 2(-1 + 3r) + -4(5r + 3) + -14r = 0 (-1 * 2 + 3r * 2) + -4(5r + 3) + -14r = 0 (-2 + 6r) + -4(5r + 3) + -14r = 0 Reorder the terms: -2 + 6r + -4(3 + 5r) + -14r = 0 -2 + 6r + (3 * -4 + 5r * -4) + -14r = 0 -2 + 6r + (-12 + -20r) + -14r = 0 Reorder the terms: -2 + -12 + 6r + -20r + -14r = 0 Combine like terms: -2 + -12 = -14 -14 + 6r + -20r + -14r = 0 Combine like terms: 6r + -20r = -14r -14 + -14r + -14r = 0 Combine like terms: -14r + -14r = -28r -14 + -28r = 0 Solving -14 + -28r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -28r = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -28r = 0 + 14 -28r = 0 + 14 Combine like terms: 0 + 14 = 14 -28r = 14 Divide each side by '-28'. r = -0.5 Simplifying r = -0.5
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