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Simplifying -2(2r + -7) + -4(3r + -5) = 0 Reorder the terms: -2(-7 + 2r) + -4(3r + -5) = 0 (-7 * -2 + 2r * -2) + -4(3r + -5) = 0 (14 + -4r) + -4(3r + -5) = 0 Reorder the terms: 14 + -4r + -4(-5 + 3r) = 0 14 + -4r + (-5 * -4 + 3r * -4) = 0 14 + -4r + (20 + -12r) = 0 Reorder the terms: 14 + 20 + -4r + -12r = 0 Combine like terms: 14 + 20 = 34 34 + -4r + -12r = 0 Combine like terms: -4r + -12r = -16r 34 + -16r = 0 Solving 34 + -16r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -16r = 0 + -34 Combine like terms: 34 + -34 = 0 0 + -16r = 0 + -34 -16r = 0 + -34 Combine like terms: 0 + -34 = -34 -16r = -34 Divide each side by '-16'. r = 2.125 Simplifying r = 2.125
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