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Simplifying -114 = r + -6(3r + 2) Reorder the terms: -114 = r + -6(2 + 3r) -114 = r + (2 * -6 + 3r * -6) -114 = r + (-12 + -18r) Reorder the terms: -114 = -12 + r + -18r Combine like terms: r + -18r = -17r -114 = -12 + -17r Solving -114 = -12 + -17r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '17r' to each side of the equation. -114 + 17r = -12 + -17r + 17r Combine like terms: -17r + 17r = 0 -114 + 17r = -12 + 0 -114 + 17r = -12 Add '114' to each side of the equation. -114 + 114 + 17r = -12 + 114 Combine like terms: -114 + 114 = 0 0 + 17r = -12 + 114 17r = -12 + 114 Combine like terms: -12 + 114 = 102 17r = 102 Divide each side by '17'. r = 6 Simplifying r = 6
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