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Simplifying -6(3r + 10) + 4(4r + 10) = 0 Reorder the terms: -6(10 + 3r) + 4(4r + 10) = 0 (10 * -6 + 3r * -6) + 4(4r + 10) = 0 (-60 + -18r) + 4(4r + 10) = 0 Reorder the terms: -60 + -18r + 4(10 + 4r) = 0 -60 + -18r + (10 * 4 + 4r * 4) = 0 -60 + -18r + (40 + 16r) = 0 Reorder the terms: -60 + 40 + -18r + 16r = 0 Combine like terms: -60 + 40 = -20 -20 + -18r + 16r = 0 Combine like terms: -18r + 16r = -2r -20 + -2r = 0 Solving -20 + -2r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -2r = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -2r = 0 + 20 -2r = 0 + 20 Combine like terms: 0 + 20 = 20 -2r = 20 Divide each side by '-2'. r = -10 Simplifying r = -10
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