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Simplifying r + -31 = 3(-6r + -4) Reorder the terms: -31 + r = 3(-6r + -4) Reorder the terms: -31 + r = 3(-4 + -6r) -31 + r = (-4 * 3 + -6r * 3) -31 + r = (-12 + -18r) Solving -31 + r = -12 + -18r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '18r' to each side of the equation. -31 + r + 18r = -12 + -18r + 18r Combine like terms: r + 18r = 19r -31 + 19r = -12 + -18r + 18r Combine like terms: -18r + 18r = 0 -31 + 19r = -12 + 0 -31 + 19r = -12 Add '31' to each side of the equation. -31 + 31 + 19r = -12 + 31 Combine like terms: -31 + 31 = 0 0 + 19r = -12 + 31 19r = -12 + 31 Combine like terms: -12 + 31 = 19 19r = 19 Divide each side by '19'. r = 1 Simplifying r = 1
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