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Simplifying 2(4r + -24) + -16(2r + -12) = 0 Reorder the terms: 2(-24 + 4r) + -16(2r + -12) = 0 (-24 * 2 + 4r * 2) + -16(2r + -12) = 0 (-48 + 8r) + -16(2r + -12) = 0 Reorder the terms: -48 + 8r + -16(-12 + 2r) = 0 -48 + 8r + (-12 * -16 + 2r * -16) = 0 -48 + 8r + (192 + -32r) = 0 Reorder the terms: -48 + 192 + 8r + -32r = 0 Combine like terms: -48 + 192 = 144 144 + 8r + -32r = 0 Combine like terms: 8r + -32r = -24r 144 + -24r = 0 Solving 144 + -24r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-144' to each side of the equation. 144 + -144 + -24r = 0 + -144 Combine like terms: 144 + -144 = 0 0 + -24r = 0 + -144 -24r = 0 + -144 Combine like terms: 0 + -144 = -144 -24r = -144 Divide each side by '-24'. r = 6 Simplifying r = 6
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