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Simplifying -3(r + -7) = 37 + -1r Reorder the terms: -3(-7 + r) = 37 + -1r (-7 * -3 + r * -3) = 37 + -1r (21 + -3r) = 37 + -1r Solving 21 + -3r = 37 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 21 + -3r + r = 37 + -1r + r Combine like terms: -3r + r = -2r 21 + -2r = 37 + -1r + r Combine like terms: -1r + r = 0 21 + -2r = 37 + 0 21 + -2r = 37 Add '-21' to each side of the equation. 21 + -21 + -2r = 37 + -21 Combine like terms: 21 + -21 = 0 0 + -2r = 37 + -21 -2r = 37 + -21 Combine like terms: 37 + -21 = 16 -2r = 16 Divide each side by '-2'. r = -8 Simplifying r = -8
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