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Simplifying -1(3 + -4r) = 4(1 + -1r) (3 * -1 + -4r * -1) = 4(1 + -1r) (-3 + 4r) = 4(1 + -1r) -3 + 4r = (1 * 4 + -1r * 4) -3 + 4r = (4 + -4r) Solving -3 + 4r = 4 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. -3 + 4r + 4r = 4 + -4r + 4r Combine like terms: 4r + 4r = 8r -3 + 8r = 4 + -4r + 4r Combine like terms: -4r + 4r = 0 -3 + 8r = 4 + 0 -3 + 8r = 4 Add '3' to each side of the equation. -3 + 3 + 8r = 4 + 3 Combine like terms: -3 + 3 = 0 0 + 8r = 4 + 3 8r = 4 + 3 Combine like terms: 4 + 3 = 7 8r = 7 Divide each side by '8'. r = 0.875 Simplifying r = 0.875
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