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Simplifying 6(r + 7) = 4r + -4(r + 6) Reorder the terms: 6(7 + r) = 4r + -4(r + 6) (7 * 6 + r * 6) = 4r + -4(r + 6) (42 + 6r) = 4r + -4(r + 6) Reorder the terms: 42 + 6r = 4r + -4(6 + r) 42 + 6r = 4r + (6 * -4 + r * -4) 42 + 6r = 4r + (-24 + -4r) Reorder the terms: 42 + 6r = -24 + 4r + -4r Combine like terms: 4r + -4r = 0 42 + 6r = -24 + 0 42 + 6r = -24 Solving 42 + 6r = -24 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 6r = -24 + -42 Combine like terms: 42 + -42 = 0 0 + 6r = -24 + -42 6r = -24 + -42 Combine like terms: -24 + -42 = -66 6r = -66 Divide each side by '6'. r = -11 Simplifying r = -11
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