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Simplifying -7 + -6(12r + -4) = -7(11r + -6) Reorder the terms: -7 + -6(-4 + 12r) = -7(11r + -6) -7 + (-4 * -6 + 12r * -6) = -7(11r + -6) -7 + (24 + -72r) = -7(11r + -6) Combine like terms: -7 + 24 = 17 17 + -72r = -7(11r + -6) Reorder the terms: 17 + -72r = -7(-6 + 11r) 17 + -72r = (-6 * -7 + 11r * -7) 17 + -72r = (42 + -77r) Solving 17 + -72r = 42 + -77r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '77r' to each side of the equation. 17 + -72r + 77r = 42 + -77r + 77r Combine like terms: -72r + 77r = 5r 17 + 5r = 42 + -77r + 77r Combine like terms: -77r + 77r = 0 17 + 5r = 42 + 0 17 + 5r = 42 Add '-17' to each side of the equation. 17 + -17 + 5r = 42 + -17 Combine like terms: 17 + -17 = 0 0 + 5r = 42 + -17 5r = 42 + -17 Combine like terms: 42 + -17 = 25 5r = 25 Divide each side by '5'. r = 5 Simplifying r = 5
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