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Simplifying 3 + 4r + -7 + 8r = 4 + 2r + 8r + -9 Reorder the terms: 3 + -7 + 4r + 8r = 4 + 2r + 8r + -9 Combine like terms: 3 + -7 = -4 -4 + 4r + 8r = 4 + 2r + 8r + -9 Combine like terms: 4r + 8r = 12r -4 + 12r = 4 + 2r + 8r + -9 Reorder the terms: -4 + 12r = 4 + -9 + 2r + 8r Combine like terms: 4 + -9 = -5 -4 + 12r = -5 + 2r + 8r Combine like terms: 2r + 8r = 10r -4 + 12r = -5 + 10r Solving -4 + 12r = -5 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. -4 + 12r + -10r = -5 + 10r + -10r Combine like terms: 12r + -10r = 2r -4 + 2r = -5 + 10r + -10r Combine like terms: 10r + -10r = 0 -4 + 2r = -5 + 0 -4 + 2r = -5 Add '4' to each side of the equation. -4 + 4 + 2r = -5 + 4 Combine like terms: -4 + 4 = 0 0 + 2r = -5 + 4 2r = -5 + 4 Combine like terms: -5 + 4 = -1 2r = -1 Divide each side by '2'. r = -0.5 Simplifying r = -0.5
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