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