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