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Simplifying 6r + -2(2 + -1r) = 4(2 + x) 6r + (2 * -2 + -1r * -2) = 4(2 + x) 6r + (-4 + 2r) = 4(2 + x) Reorder the terms: -4 + 6r + 2r = 4(2 + x) Combine like terms: 6r + 2r = 8r -4 + 8r = 4(2 + x) -4 + 8r = (2 * 4 + x * 4) -4 + 8r = (8 + 4x) Solving -4 + 8r = 8 + 4x Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 8r = 8 + 4 + 4x Combine like terms: -4 + 4 = 0 0 + 8r = 8 + 4 + 4x 8r = 8 + 4 + 4x Combine like terms: 8 + 4 = 12 8r = 12 + 4x Divide each side by '8'. r = 1.5 + 0.5x Simplifying r = 1.5 + 0.5x
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