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Simplifying 4(r + 6) + -2(5r + -3) = 0 Reorder the terms: 4(6 + r) + -2(5r + -3) = 0 (6 * 4 + r * 4) + -2(5r + -3) = 0 (24 + 4r) + -2(5r + -3) = 0 Reorder the terms: 24 + 4r + -2(-3 + 5r) = 0 24 + 4r + (-3 * -2 + 5r * -2) = 0 24 + 4r + (6 + -10r) = 0 Reorder the terms: 24 + 6 + 4r + -10r = 0 Combine like terms: 24 + 6 = 30 30 + 4r + -10r = 0 Combine like terms: 4r + -10r = -6r 30 + -6r = 0 Solving 30 + -6r = 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 + -6r = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -6r = 0 + -30 -6r = 0 + -30 Combine like terms: 0 + -30 = -30 -6r = -30 Divide each side by '-6'. r = 5 Simplifying r = 5
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