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Simplifying 2(4r + -4) = -7(2r + -6) + 4r Reorder the terms: 2(-4 + 4r) = -7(2r + -6) + 4r (-4 * 2 + 4r * 2) = -7(2r + -6) + 4r (-8 + 8r) = -7(2r + -6) + 4r Reorder the terms: -8 + 8r = -7(-6 + 2r) + 4r -8 + 8r = (-6 * -7 + 2r * -7) + 4r -8 + 8r = (42 + -14r) + 4r Combine like terms: -14r + 4r = -10r -8 + 8r = 42 + -10r Solving -8 + 8r = 42 + -10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10r' to each side of the equation. -8 + 8r + 10r = 42 + -10r + 10r Combine like terms: 8r + 10r = 18r -8 + 18r = 42 + -10r + 10r Combine like terms: -10r + 10r = 0 -8 + 18r = 42 + 0 -8 + 18r = 42 Add '8' to each side of the equation. -8 + 8 + 18r = 42 + 8 Combine like terms: -8 + 8 = 0 0 + 18r = 42 + 8 18r = 42 + 8 Combine like terms: 42 + 8 = 50 18r = 50 Divide each side by '18'. r = 2.777777778 Simplifying r = 2.777777778
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