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Simplifying 2r + -11 = 7(r + -3) Reorder the terms: -11 + 2r = 7(r + -3) Reorder the terms: -11 + 2r = 7(-3 + r) -11 + 2r = (-3 * 7 + r * 7) -11 + 2r = (-21 + 7r) Solving -11 + 2r = -21 + 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. -11 + 2r + -7r = -21 + 7r + -7r Combine like terms: 2r + -7r = -5r -11 + -5r = -21 + 7r + -7r Combine like terms: 7r + -7r = 0 -11 + -5r = -21 + 0 -11 + -5r = -21 Add '11' to each side of the equation. -11 + 11 + -5r = -21 + 11 Combine like terms: -11 + 11 = 0 0 + -5r = -21 + 11 -5r = -21 + 11 Combine like terms: -21 + 11 = -10 -5r = -10 Divide each side by '-5'. r = 2 Simplifying r = 2
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