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Simplifying 6(7 + -2r) = 114 (7 * 6 + -2r * 6) = 114 (42 + -12r) = 114 Solving 42 + -12r = 114 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -12r = 114 + -42 Combine like terms: 42 + -42 = 0 0 + -12r = 114 + -42 -12r = 114 + -42 Combine like terms: 114 + -42 = 72 -12r = 72 Divide each side by '-12'. r = -6 Simplifying r = -6
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