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Simplifying 4(r + 6) + -10 + 2r = 0 Reorder the terms: 4(6 + r) + -10 + 2r = 0 (6 * 4 + r * 4) + -10 + 2r = 0 (24 + 4r) + -10 + 2r = 0 Reorder the terms: 24 + -10 + 4r + 2r = 0 Combine like terms: 24 + -10 = 14 14 + 4r + 2r = 0 Combine like terms: 4r + 2r = 6r 14 + 6r = 0 Solving 14 + 6r = 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 + 6r = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 6r = 0 + -14 6r = 0 + -14 Combine like terms: 0 + -14 = -14 6r = -14 Divide each side by '6'. r = -2.333333333 Simplifying r = -2.333333333
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