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Simplifying 4(r + 1) = 6 + -2(x + -6) Reorder the terms: 4(1 + r) = 6 + -2(x + -6) (1 * 4 + r * 4) = 6 + -2(x + -6) (4 + 4r) = 6 + -2(x + -6) Reorder the terms: 4 + 4r = 6 + -2(-6 + x) 4 + 4r = 6 + (-6 * -2 + x * -2) 4 + 4r = 6 + (12 + -2x) Combine like terms: 6 + 12 = 18 4 + 4r = 18 + -2x Solving 4 + 4r = 18 + -2x 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 + 4r = 18 + -4 + -2x Combine like terms: 4 + -4 = 0 0 + 4r = 18 + -4 + -2x 4r = 18 + -4 + -2x Combine like terms: 18 + -4 = 14 4r = 14 + -2x Divide each side by '4'. r = 3.5 + -0.5x Simplifying r = 3.5 + -0.5x
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