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Simplifying 3(r + -2) + 7(r + -5) = 0 Reorder the terms: 3(-2 + r) + 7(r + -5) = 0 (-2 * 3 + r * 3) + 7(r + -5) = 0 (-6 + 3r) + 7(r + -5) = 0 Reorder the terms: -6 + 3r + 7(-5 + r) = 0 -6 + 3r + (-5 * 7 + r * 7) = 0 -6 + 3r + (-35 + 7r) = 0 Reorder the terms: -6 + -35 + 3r + 7r = 0 Combine like terms: -6 + -35 = -41 -41 + 3r + 7r = 0 Combine like terms: 3r + 7r = 10r -41 + 10r = 0 Solving -41 + 10r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 10r = 0 + 41 Combine like terms: -41 + 41 = 0 0 + 10r = 0 + 41 10r = 0 + 41 Combine like terms: 0 + 41 = 41 10r = 41 Divide each side by '10'. r = 4.1 Simplifying r = 4.1
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