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Simplifying 2(5r + -9) + -4(4r + 3) = 0 Reorder the terms: 2(-9 + 5r) + -4(4r + 3) = 0 (-9 * 2 + 5r * 2) + -4(4r + 3) = 0 (-18 + 10r) + -4(4r + 3) = 0 Reorder the terms: -18 + 10r + -4(3 + 4r) = 0 -18 + 10r + (3 * -4 + 4r * -4) = 0 -18 + 10r + (-12 + -16r) = 0 Reorder the terms: -18 + -12 + 10r + -16r = 0 Combine like terms: -18 + -12 = -30 -30 + 10r + -16r = 0 Combine like terms: 10r + -16r = -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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