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Simplifying 2(r + -2) = -3(4 + 2r) Reorder the terms: 2(-2 + r) = -3(4 + 2r) (-2 * 2 + r * 2) = -3(4 + 2r) (-4 + 2r) = -3(4 + 2r) -4 + 2r = (4 * -3 + 2r * -3) -4 + 2r = (-12 + -6r) Solving -4 + 2r = -12 + -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. -4 + 2r + 6r = -12 + -6r + 6r Combine like terms: 2r + 6r = 8r -4 + 8r = -12 + -6r + 6r Combine like terms: -6r + 6r = 0 -4 + 8r = -12 + 0 -4 + 8r = -12 Add '4' to each side of the equation. -4 + 4 + 8r = -12 + 4 Combine like terms: -4 + 4 = 0 0 + 8r = -12 + 4 8r = -12 + 4 Combine like terms: -12 + 4 = -8 8r = -8 Divide each side by '8'. r = -1 Simplifying r = -1
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