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Simplifying 4(r + -3) = -3(r + 2) Reorder the terms: 4(-3 + r) = -3(r + 2) (-3 * 4 + r * 4) = -3(r + 2) (-12 + 4r) = -3(r + 2) Reorder the terms: -12 + 4r = -3(2 + r) -12 + 4r = (2 * -3 + r * -3) -12 + 4r = (-6 + -3r) Solving -12 + 4r = -6 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. -12 + 4r + 3r = -6 + -3r + 3r Combine like terms: 4r + 3r = 7r -12 + 7r = -6 + -3r + 3r Combine like terms: -3r + 3r = 0 -12 + 7r = -6 + 0 -12 + 7r = -6 Add '12' to each side of the equation. -12 + 12 + 7r = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 7r = -6 + 12 7r = -6 + 12 Combine like terms: -6 + 12 = 6 7r = 6 Divide each side by '7'. r = 0.8571428571 Simplifying r = 0.8571428571
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