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Simplifying 6 + 4(r + 2) = r + 7 Reorder the terms: 6 + 4(2 + r) = r + 7 6 + (2 * 4 + r * 4) = r + 7 6 + (8 + 4r) = r + 7 Combine like terms: 6 + 8 = 14 14 + 4r = r + 7 Reorder the terms: 14 + 4r = 7 + r Solving 14 + 4r = 7 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 14 + 4r + -1r = 7 + r + -1r Combine like terms: 4r + -1r = 3r 14 + 3r = 7 + r + -1r Combine like terms: r + -1r = 0 14 + 3r = 7 + 0 14 + 3r = 7 Add '-14' to each side of the equation. 14 + -14 + 3r = 7 + -14 Combine like terms: 14 + -14 = 0 0 + 3r = 7 + -14 3r = 7 + -14 Combine like terms: 7 + -14 = -7 3r = -7 Divide each side by '3'. r = -2.333333333 Simplifying r = -2.333333333
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