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Simplifying 3(r + -4) + -4(4r + -8) + -13r = 0 Reorder the terms: 3(-4 + r) + -4(4r + -8) + -13r = 0 (-4 * 3 + r * 3) + -4(4r + -8) + -13r = 0 (-12 + 3r) + -4(4r + -8) + -13r = 0 Reorder the terms: -12 + 3r + -4(-8 + 4r) + -13r = 0 -12 + 3r + (-8 * -4 + 4r * -4) + -13r = 0 -12 + 3r + (32 + -16r) + -13r = 0 Reorder the terms: -12 + 32 + 3r + -16r + -13r = 0 Combine like terms: -12 + 32 = 20 20 + 3r + -16r + -13r = 0 Combine like terms: 3r + -16r = -13r 20 + -13r + -13r = 0 Combine like terms: -13r + -13r = -26r 20 + -26r = 0 Solving 20 + -26r = 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 + -26r = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -26r = 0 + -20 -26r = 0 + -20 Combine like terms: 0 + -20 = -20 -26r = -20 Divide each side by '-26'. r = 0.7692307692 Simplifying r = 0.7692307692
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