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