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Simplifying -1(r + 2) = 2(3r + -3) Reorder the terms: -1(2 + r) = 2(3r + -3) (2 * -1 + r * -1) = 2(3r + -3) (-2 + -1r) = 2(3r + -3) Reorder the terms: -2 + -1r = 2(-3 + 3r) -2 + -1r = (-3 * 2 + 3r * 2) -2 + -1r = (-6 + 6r) Solving -2 + -1r = -6 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -2 + -1r + -6r = -6 + 6r + -6r Combine like terms: -1r + -6r = -7r -2 + -7r = -6 + 6r + -6r Combine like terms: 6r + -6r = 0 -2 + -7r = -6 + 0 -2 + -7r = -6 Add '2' to each side of the equation. -2 + 2 + -7r = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -7r = -6 + 2 -7r = -6 + 2 Combine like terms: -6 + 2 = -4 -7r = -4 Divide each side by '-7'. r = 0.5714285714 Simplifying r = 0.5714285714
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