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Simplifying 5(2r + -7) + 6(5 + -1r) = 18 Reorder the terms: 5(-7 + 2r) + 6(5 + -1r) = 18 (-7 * 5 + 2r * 5) + 6(5 + -1r) = 18 (-35 + 10r) + 6(5 + -1r) = 18 -35 + 10r + (5 * 6 + -1r * 6) = 18 -35 + 10r + (30 + -6r) = 18 Reorder the terms: -35 + 30 + 10r + -6r = 18 Combine like terms: -35 + 30 = -5 -5 + 10r + -6r = 18 Combine like terms: 10r + -6r = 4r -5 + 4r = 18 Solving -5 + 4r = 18 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 + 4r = 18 + 5 Combine like terms: -5 + 5 = 0 0 + 4r = 18 + 5 4r = 18 + 5 Combine like terms: 18 + 5 = 23 4r = 23 Divide each side by '4'. r = 5.75 Simplifying r = 5.75
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