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Simplifying 4r + -1(3 + 6r) = 8r + 9 4r + (3 * -1 + 6r * -1) = 8r + 9 4r + (-3 + -6r) = 8r + 9 Reorder the terms: -3 + 4r + -6r = 8r + 9 Combine like terms: 4r + -6r = -2r -3 + -2r = 8r + 9 Reorder the terms: -3 + -2r = 9 + 8r Solving -3 + -2r = 9 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -3 + -2r + -8r = 9 + 8r + -8r Combine like terms: -2r + -8r = -10r -3 + -10r = 9 + 8r + -8r Combine like terms: 8r + -8r = 0 -3 + -10r = 9 + 0 -3 + -10r = 9 Add '3' to each side of the equation. -3 + 3 + -10r = 9 + 3 Combine like terms: -3 + 3 = 0 0 + -10r = 9 + 3 -10r = 9 + 3 Combine like terms: 9 + 3 = 12 -10r = 12 Divide each side by '-10'. r = -1.2 Simplifying r = -1.2
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