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Simplifying 7(-3r + -1) + 3r = 137 Reorder the terms: 7(-1 + -3r) + 3r = 137 (-1 * 7 + -3r * 7) + 3r = 137 (-7 + -21r) + 3r = 137 Combine like terms: -21r + 3r = -18r -7 + -18r = 137 Solving -7 + -18r = 137 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -18r = 137 + 7 Combine like terms: -7 + 7 = 0 0 + -18r = 137 + 7 -18r = 137 + 7 Combine like terms: 137 + 7 = 144 -18r = 144 Divide each side by '-18'. r = -8 Simplifying r = -8
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