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Simplifying -3(1 + 4r) = -9 + -6r (1 * -3 + 4r * -3) = -9 + -6r (-3 + -12r) = -9 + -6r Solving -3 + -12r = -9 + -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. -3 + -12r + 6r = -9 + -6r + 6r Combine like terms: -12r + 6r = -6r -3 + -6r = -9 + -6r + 6r Combine like terms: -6r + 6r = 0 -3 + -6r = -9 + 0 -3 + -6r = -9 Add '3' to each side of the equation. -3 + 3 + -6r = -9 + 3 Combine like terms: -3 + 3 = 0 0 + -6r = -9 + 3 -6r = -9 + 3 Combine like terms: -9 + 3 = -6 -6r = -6 Divide each side by '-6'. r = 1 Simplifying r = 1
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