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Simplifying 2(5r + 4) + -4(r + -3) + -16r = 0 Reorder the terms: 2(4 + 5r) + -4(r + -3) + -16r = 0 (4 * 2 + 5r * 2) + -4(r + -3) + -16r = 0 (8 + 10r) + -4(r + -3) + -16r = 0 Reorder the terms: 8 + 10r + -4(-3 + r) + -16r = 0 8 + 10r + (-3 * -4 + r * -4) + -16r = 0 8 + 10r + (12 + -4r) + -16r = 0 Reorder the terms: 8 + 12 + 10r + -4r + -16r = 0 Combine like terms: 8 + 12 = 20 20 + 10r + -4r + -16r = 0 Combine like terms: 10r + -4r = 6r 20 + 6r + -16r = 0 Combine like terms: 6r + -16r = -10r 20 + -10r = 0 Solving 20 + -10r = 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 + -10r = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -10r = 0 + -20 -10r = 0 + -20 Combine like terms: 0 + -20 = -20 -10r = -20 Divide each side by '-10'. r = 2 Simplifying r = 2
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