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Simplifying 6r + -19 = 2(1 + -2r) + -5 Reorder the terms: -19 + 6r = 2(1 + -2r) + -5 -19 + 6r = (1 * 2 + -2r * 2) + -5 -19 + 6r = (2 + -4r) + -5 Reorder the terms: -19 + 6r = 2 + -5 + -4r Combine like terms: 2 + -5 = -3 -19 + 6r = -3 + -4r Solving -19 + 6r = -3 + -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. -19 + 6r + 4r = -3 + -4r + 4r Combine like terms: 6r + 4r = 10r -19 + 10r = -3 + -4r + 4r Combine like terms: -4r + 4r = 0 -19 + 10r = -3 + 0 -19 + 10r = -3 Add '19' to each side of the equation. -19 + 19 + 10r = -3 + 19 Combine like terms: -19 + 19 = 0 0 + 10r = -3 + 19 10r = -3 + 19 Combine like terms: -3 + 19 = 16 10r = 16 Divide each side by '10'. r = 1.6 Simplifying r = 1.6
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