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Simplifying 4(1 + -6r) + 2 = -114 (1 * 4 + -6r * 4) + 2 = -114 (4 + -24r) + 2 = -114 Reorder the terms: 4 + 2 + -24r = -114 Combine like terms: 4 + 2 = 6 6 + -24r = -114 Solving 6 + -24r = -114 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -24r = -114 + -6 Combine like terms: 6 + -6 = 0 0 + -24r = -114 + -6 -24r = -114 + -6 Combine like terms: -114 + -6 = -120 -24r = -120 Divide each side by '-24'. r = 5 Simplifying r = 5
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