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Simplifying 27 = -4 + 7(r + -6) Reorder the terms: 27 = -4 + 7(-6 + r) 27 = -4 + (-6 * 7 + r * 7) 27 = -4 + (-42 + 7r) Combine like terms: -4 + -42 = -46 27 = -46 + 7r Solving 27 = -46 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 27 + -7r = -46 + 7r + -7r Combine like terms: 7r + -7r = 0 27 + -7r = -46 + 0 27 + -7r = -46 Add '-27' to each side of the equation. 27 + -27 + -7r = -46 + -27 Combine like terms: 27 + -27 = 0 0 + -7r = -46 + -27 -7r = -46 + -27 Combine like terms: -46 + -27 = -73 -7r = -73 Divide each side by '-7'. r = 10.42857143 Simplifying r = 10.42857143
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