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Simplifying -6(3 + 4r) + 3r = -165 (3 * -6 + 4r * -6) + 3r = -165 (-18 + -24r) + 3r = -165 Combine like terms: -24r + 3r = -21r -18 + -21r = -165 Solving -18 + -21r = -165 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -21r = -165 + 18 Combine like terms: -18 + 18 = 0 0 + -21r = -165 + 18 -21r = -165 + 18 Combine like terms: -165 + 18 = -147 -21r = -147 Divide each side by '-21'. r = 7 Simplifying r = 7
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