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Simplifying 5(r + -1) = 2r(2 + -4) + -6 Reorder the terms: 5(-1 + r) = 2r(2 + -4) + -6 (-1 * 5 + r * 5) = 2r(2 + -4) + -6 (-5 + 5r) = 2r(2 + -4) + -6 Combine like terms: 2 + -4 = -2 -5 + 5r = 2r(-2) + -6 Reorder the terms for easier multiplication: -5 + 5r = 2 * -2r + -6 Multiply 2 * -2 -5 + 5r = -4r + -6 Reorder the terms: -5 + 5r = -6 + -4r Solving -5 + 5r = -6 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. -5 + 5r + 4r = -6 + -4r + 4r Combine like terms: 5r + 4r = 9r -5 + 9r = -6 + -4r + 4r Combine like terms: -4r + 4r = 0 -5 + 9r = -6 + 0 -5 + 9r = -6 Add '5' to each side of the equation. -5 + 5 + 9r = -6 + 5 Combine like terms: -5 + 5 = 0 0 + 9r = -6 + 5 9r = -6 + 5 Combine like terms: -6 + 5 = -1 9r = -1 Divide each side by '9'. r = -0.1111111111 Simplifying r = -0.1111111111
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