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Simplifying 4r + -1(11) = 19 + -1(2r) Multiply -1 * 11 4r + -11 = 19 + -1(2r) Reorder the terms: -11 + 4r = 19 + -1(2r) Remove parenthesis around (2r) -11 + 4r = 19 + -1 * 2r Multiply -1 * 2 -11 + 4r = 19 + -2r Solving -11 + 4r = 19 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. -11 + 4r + 2r = 19 + -2r + 2r Combine like terms: 4r + 2r = 6r -11 + 6r = 19 + -2r + 2r Combine like terms: -2r + 2r = 0 -11 + 6r = 19 + 0 -11 + 6r = 19 Add '11' to each side of the equation. -11 + 11 + 6r = 19 + 11 Combine like terms: -11 + 11 = 0 0 + 6r = 19 + 11 6r = 19 + 11 Combine like terms: 19 + 11 = 30 6r = 30 Divide each side by '6'. r = 5 Simplifying r = 5
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