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Simplifying 4r + -9(1 + -6r) = -5r + 6(10r + -2) 4r + (1 * -9 + -6r * -9) = -5r + 6(10r + -2) 4r + (-9 + 54r) = -5r + 6(10r + -2) Reorder the terms: -9 + 4r + 54r = -5r + 6(10r + -2) Combine like terms: 4r + 54r = 58r -9 + 58r = -5r + 6(10r + -2) Reorder the terms: -9 + 58r = -5r + 6(-2 + 10r) -9 + 58r = -5r + (-2 * 6 + 10r * 6) -9 + 58r = -5r + (-12 + 60r) Reorder the terms: -9 + 58r = -12 + -5r + 60r Combine like terms: -5r + 60r = 55r -9 + 58r = -12 + 55r Solving -9 + 58r = -12 + 55r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-55r' to each side of the equation. -9 + 58r + -55r = -12 + 55r + -55r Combine like terms: 58r + -55r = 3r -9 + 3r = -12 + 55r + -55r Combine like terms: 55r + -55r = 0 -9 + 3r = -12 + 0 -9 + 3r = -12 Add '9' to each side of the equation. -9 + 9 + 3r = -12 + 9 Combine like terms: -9 + 9 = 0 0 + 3r = -12 + 9 3r = -12 + 9 Combine like terms: -12 + 9 = -3 3r = -3 Divide each side by '3'. r = -1 Simplifying r = -1
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