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Simplifying -39 + 6r = 3(-1r + -4) Reorder the terms: -39 + 6r = 3(-4 + -1r) -39 + 6r = (-4 * 3 + -1r * 3) -39 + 6r = (-12 + -3r) Solving -39 + 6r = -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. -39 + 6r + 3r = -12 + -3r + 3r Combine like terms: 6r + 3r = 9r -39 + 9r = -12 + -3r + 3r Combine like terms: -3r + 3r = 0 -39 + 9r = -12 + 0 -39 + 9r = -12 Add '39' to each side of the equation. -39 + 39 + 9r = -12 + 39 Combine like terms: -39 + 39 = 0 0 + 9r = -12 + 39 9r = -12 + 39 Combine like terms: -12 + 39 = 27 9r = 27 Divide each side by '9'. r = 3 Simplifying r = 3
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