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Simplifying 45 = 3(7r + -6) Reorder the terms: 45 = 3(-6 + 7r) 45 = (-6 * 3 + 7r * 3) 45 = (-18 + 21r) Solving 45 = -18 + 21r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-21r' to each side of the equation. 45 + -21r = -18 + 21r + -21r Combine like terms: 21r + -21r = 0 45 + -21r = -18 + 0 45 + -21r = -18 Add '-45' to each side of the equation. 45 + -45 + -21r = -18 + -45 Combine like terms: 45 + -45 = 0 0 + -21r = -18 + -45 -21r = -18 + -45 Combine like terms: -18 + -45 = -63 -21r = -63 Divide each side by '-21'. r = 3 Simplifying r = 3
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