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Simplifying -37 + -7r = -3(5r + -9) Reorder the terms: -37 + -7r = -3(-9 + 5r) -37 + -7r = (-9 * -3 + 5r * -3) -37 + -7r = (27 + -15r) Solving -37 + -7r = 27 + -15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15r' to each side of the equation. -37 + -7r + 15r = 27 + -15r + 15r Combine like terms: -7r + 15r = 8r -37 + 8r = 27 + -15r + 15r Combine like terms: -15r + 15r = 0 -37 + 8r = 27 + 0 -37 + 8r = 27 Add '37' to each side of the equation. -37 + 37 + 8r = 27 + 37 Combine like terms: -37 + 37 = 0 0 + 8r = 27 + 37 8r = 27 + 37 Combine like terms: 27 + 37 = 64 8r = 64 Divide each side by '8'. r = 8 Simplifying r = 8
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