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Simplifying -4 + -2r = 2(-5r + 6) Reorder the terms: -4 + -2r = 2(6 + -5r) -4 + -2r = (6 * 2 + -5r * 2) -4 + -2r = (12 + -10r) Solving -4 + -2r = 12 + -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. -4 + -2r + 10r = 12 + -10r + 10r Combine like terms: -2r + 10r = 8r -4 + 8r = 12 + -10r + 10r Combine like terms: -10r + 10r = 0 -4 + 8r = 12 + 0 -4 + 8r = 12 Add '4' to each side of the equation. -4 + 4 + 8r = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 8r = 12 + 4 8r = 12 + 4 Combine like terms: 12 + 4 = 16 8r = 16 Divide each side by '8'. r = 2 Simplifying r = 2
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