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Simplifying 18 + 7r = 6r + 8(r + -4) Reorder the terms: 18 + 7r = 6r + 8(-4 + r) 18 + 7r = 6r + (-4 * 8 + r * 8) 18 + 7r = 6r + (-32 + 8r) Reorder the terms: 18 + 7r = -32 + 6r + 8r Combine like terms: 6r + 8r = 14r 18 + 7r = -32 + 14r Solving 18 + 7r = -32 + 14r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14r' to each side of the equation. 18 + 7r + -14r = -32 + 14r + -14r Combine like terms: 7r + -14r = -7r 18 + -7r = -32 + 14r + -14r Combine like terms: 14r + -14r = 0 18 + -7r = -32 + 0 18 + -7r = -32 Add '-18' to each side of the equation. 18 + -18 + -7r = -32 + -18 Combine like terms: 18 + -18 = 0 0 + -7r = -32 + -18 -7r = -32 + -18 Combine like terms: -32 + -18 = -50 -7r = -50 Divide each side by '-7'. r = 7.142857143 Simplifying r = 7.142857143
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