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Simplifying -7(5r + -2) = 16 + 3r Reorder the terms: -7(-2 + 5r) = 16 + 3r (-2 * -7 + 5r * -7) = 16 + 3r (14 + -35r) = 16 + 3r Solving 14 + -35r = 16 + 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. 14 + -35r + -3r = 16 + 3r + -3r Combine like terms: -35r + -3r = -38r 14 + -38r = 16 + 3r + -3r Combine like terms: 3r + -3r = 0 14 + -38r = 16 + 0 14 + -38r = 16 Add '-14' to each side of the equation. 14 + -14 + -38r = 16 + -14 Combine like terms: 14 + -14 = 0 0 + -38r = 16 + -14 -38r = 16 + -14 Combine like terms: 16 + -14 = 2 -38r = 2 Divide each side by '-38'. r = -0.05263157895 Simplifying r = -0.05263157895
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