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Simplifying -2(3r + 1) + -4r = 40 + -3r Reorder the terms: -2(1 + 3r) + -4r = 40 + -3r (1 * -2 + 3r * -2) + -4r = 40 + -3r (-2 + -6r) + -4r = 40 + -3r Combine like terms: -6r + -4r = -10r -2 + -10r = 40 + -3r Solving -2 + -10r = 40 + -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. -2 + -10r + 3r = 40 + -3r + 3r Combine like terms: -10r + 3r = -7r -2 + -7r = 40 + -3r + 3r Combine like terms: -3r + 3r = 0 -2 + -7r = 40 + 0 -2 + -7r = 40 Add '2' to each side of the equation. -2 + 2 + -7r = 40 + 2 Combine like terms: -2 + 2 = 0 0 + -7r = 40 + 2 -7r = 40 + 2 Combine like terms: 40 + 2 = 42 -7r = 42 Divide each side by '-7'. r = -6 Simplifying r = -6
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