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Simplifying -7 + -4(r + -6) = -1(3 + -6r) Reorder the terms: -7 + -4(-6 + r) = -1(3 + -6r) -7 + (-6 * -4 + r * -4) = -1(3 + -6r) -7 + (24 + -4r) = -1(3 + -6r) Combine like terms: -7 + 24 = 17 17 + -4r = -1(3 + -6r) 17 + -4r = (3 * -1 + -6r * -1) 17 + -4r = (-3 + 6r) Solving 17 + -4r = -3 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 17 + -4r + -6r = -3 + 6r + -6r Combine like terms: -4r + -6r = -10r 17 + -10r = -3 + 6r + -6r Combine like terms: 6r + -6r = 0 17 + -10r = -3 + 0 17 + -10r = -3 Add '-17' to each side of the equation. 17 + -17 + -10r = -3 + -17 Combine like terms: 17 + -17 = 0 0 + -10r = -3 + -17 -10r = -3 + -17 Combine like terms: -3 + -17 = -20 -10r = -20 Divide each side by '-10'. r = 2 Simplifying r = 2
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