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Simplifying 5(r + -1) = 2(2 + -4) + -6 Reorder the terms: 5(-1 + r) = 2(2 + -4) + -6 (-1 * 5 + r * 5) = 2(2 + -4) + -6 (-5 + 5r) = 2(2 + -4) + -6 Combine like terms: 2 + -4 = -2 -5 + 5r = 2(-2) + -6 Multiply 2 * -2 -5 + 5r = -4 + -6 Combine like terms: -4 + -6 = -10 -5 + 5r = -10 Solving -5 + 5r = -10 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 5r = -10 + 5 Combine like terms: -5 + 5 = 0 0 + 5r = -10 + 5 5r = -10 + 5 Combine like terms: -10 + 5 = -5 5r = -5 Divide each side by '5'. r = -1 Simplifying r = -1
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