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Simplifying 56r + -12 + -13r = -1(8 + -1r) Reorder the terms: -12 + 56r + -13r = -1(8 + -1r) Combine like terms: 56r + -13r = 43r -12 + 43r = -1(8 + -1r) -12 + 43r = (8 * -1 + -1r * -1) -12 + 43r = (-8 + 1r) Solving -12 + 43r = -8 + 1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -12 + 43r + -1r = -8 + 1r + -1r Combine like terms: 43r + -1r = 42r -12 + 42r = -8 + 1r + -1r Combine like terms: 1r + -1r = 0 -12 + 42r = -8 + 0 -12 + 42r = -8 Add '12' to each side of the equation. -12 + 12 + 42r = -8 + 12 Combine like terms: -12 + 12 = 0 0 + 42r = -8 + 12 42r = -8 + 12 Combine like terms: -8 + 12 = 4 42r = 4 Divide each side by '42'. r = 0.09523809524 Simplifying r = 0.09523809524
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