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Simplifying -41 + -2r = 5 + -7(r + 3) Reorder the terms: -41 + -2r = 5 + -7(3 + r) -41 + -2r = 5 + (3 * -7 + r * -7) -41 + -2r = 5 + (-21 + -7r) Combine like terms: 5 + -21 = -16 -41 + -2r = -16 + -7r Solving -41 + -2r = -16 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. -41 + -2r + 7r = -16 + -7r + 7r Combine like terms: -2r + 7r = 5r -41 + 5r = -16 + -7r + 7r Combine like terms: -7r + 7r = 0 -41 + 5r = -16 + 0 -41 + 5r = -16 Add '41' to each side of the equation. -41 + 41 + 5r = -16 + 41 Combine like terms: -41 + 41 = 0 0 + 5r = -16 + 41 5r = -16 + 41 Combine like terms: -16 + 41 = 25 5r = 25 Divide each side by '5'. r = 5 Simplifying r = 5
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