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Simplifying 4(1 + -6r) = -17 + -3r (1 * 4 + -6r * 4) = -17 + -3r (4 + -24r) = -17 + -3r Solving 4 + -24r = -17 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. 4 + -24r + 3r = -17 + -3r + 3r Combine like terms: -24r + 3r = -21r 4 + -21r = -17 + -3r + 3r Combine like terms: -3r + 3r = 0 4 + -21r = -17 + 0 4 + -21r = -17 Add '-4' to each side of the equation. 4 + -4 + -21r = -17 + -4 Combine like terms: 4 + -4 = 0 0 + -21r = -17 + -4 -21r = -17 + -4 Combine like terms: -17 + -4 = -21 -21r = -21 Divide each side by '-21'. r = 1 Simplifying r = 1
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