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