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Simplifying 5r + -3[7 + -1(1 + -2r)] = 0 5r + -3[7 + (1 * -1 + -2r * -1)] = 0 5r + -3[7 + (-1 + 2r)] = 0 Combine like terms: 7 + -1 = 6 5r + -3[6 + 2r] = 0 5r + [6 * -3 + 2r * -3] = 0 5r + [-18 + -6r] = 0 Reorder the terms: -18 + 5r + -6r = 0 Combine like terms: 5r + -6r = -1r -18 + -1r = 0 Solving -18 + -1r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1r = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1r = 0 + 18 -1r = 0 + 18 Combine like terms: 0 + 18 = 18 -1r = 18 Divide each side by '-1'. r = -18 Simplifying r = -18
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