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Simplifying 5(2r + 6) + -12r = 0 Reorder the terms: 5(6 + 2r) + -12r = 0 (6 * 5 + 2r * 5) + -12r = 0 (30 + 10r) + -12r = 0 Combine like terms: 10r + -12r = -2r 30 + -2r = 0 Solving 30 + -2r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -2r = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -2r = 0 + -30 -2r = 0 + -30 Combine like terms: 0 + -30 = -30 -2r = -30 Divide each side by '-2'. r = 15 Simplifying r = 15
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