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Simplifying -6 + -9r = -2r + -1(8r + 4) Reorder the terms: -6 + -9r = -2r + -1(4 + 8r) -6 + -9r = -2r + (4 * -1 + 8r * -1) -6 + -9r = -2r + (-4 + -8r) Reorder the terms: -6 + -9r = -4 + -2r + -8r Combine like terms: -2r + -8r = -10r -6 + -9r = -4 + -10r Solving -6 + -9r = -4 + -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. -6 + -9r + 10r = -4 + -10r + 10r Combine like terms: -9r + 10r = 1r -6 + 1r = -4 + -10r + 10r Combine like terms: -10r + 10r = 0 -6 + 1r = -4 + 0 -6 + 1r = -4 Add '6' to each side of the equation. -6 + 6 + 1r = -4 + 6 Combine like terms: -6 + 6 = 0 0 + 1r = -4 + 6 1r = -4 + 6 Combine like terms: -4 + 6 = 2 1r = 2 Divide each side by '1'. r = 2 Simplifying r = 2
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