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Simplifying -114 = -6(4 + -3r) -114 = (4 * -6 + -3r * -6) -114 = (-24 + 18r) Solving -114 = -24 + 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. -114 + -18r = -24 + 18r + -18r Combine like terms: 18r + -18r = 0 -114 + -18r = -24 + 0 -114 + -18r = -24 Add '114' to each side of the equation. -114 + 114 + -18r = -24 + 114 Combine like terms: -114 + 114 = 0 0 + -18r = -24 + 114 -18r = -24 + 114 Combine like terms: -24 + 114 = 90 -18r = 90 Divide each side by '-18'. r = -5 Simplifying r = -5
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