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Simplifying 5(r + -1) = 2(-3 + -4) + -6 Reorder the terms: 5(-1 + r) = 2(-3 + -4) + -6 (-1 * 5 + r * 5) = 2(-3 + -4) + -6 (-5 + 5r) = 2(-3 + -4) + -6 Combine like terms: -3 + -4 = -7 -5 + 5r = 2(-7) + -6 Multiply 2 * -7 -5 + 5r = -14 + -6 Combine like terms: -14 + -6 = -20 -5 + 5r = -20 Solving -5 + 5r = -20 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 = -20 + 5 Combine like terms: -5 + 5 = 0 0 + 5r = -20 + 5 5r = -20 + 5 Combine like terms: -20 + 5 = -15 5r = -15 Divide each side by '5'. r = -3 Simplifying r = -3
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