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Simplifying -5r + -40 = -2(7r + -7) Reorder the terms: -40 + -5r = -2(7r + -7) Reorder the terms: -40 + -5r = -2(-7 + 7r) -40 + -5r = (-7 * -2 + 7r * -2) -40 + -5r = (14 + -14r) Solving -40 + -5r = 14 + -14r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '14r' to each side of the equation. -40 + -5r + 14r = 14 + -14r + 14r Combine like terms: -5r + 14r = 9r -40 + 9r = 14 + -14r + 14r Combine like terms: -14r + 14r = 0 -40 + 9r = 14 + 0 -40 + 9r = 14 Add '40' to each side of the equation. -40 + 40 + 9r = 14 + 40 Combine like terms: -40 + 40 = 0 0 + 9r = 14 + 40 9r = 14 + 40 Combine like terms: 14 + 40 = 54 9r = 54 Divide each side by '9'. r = 6 Simplifying r = 6
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