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Simplifying 4r + -11 = -7(5 + -1r) Reorder the terms: -11 + 4r = -7(5 + -1r) -11 + 4r = (5 * -7 + -1r * -7) -11 + 4r = (-35 + 7r) Solving -11 + 4r = -35 + 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 + 4r + -7r = -35 + 7r + -7r Combine like terms: 4r + -7r = -3r -11 + -3r = -35 + 7r + -7r Combine like terms: 7r + -7r = 0 -11 + -3r = -35 + 0 -11 + -3r = -35 Add '11' to each side of the equation. -11 + 11 + -3r = -35 + 11 Combine like terms: -11 + 11 = 0 0 + -3r = -35 + 11 -3r = -35 + 11 Combine like terms: -35 + 11 = -24 -3r = -24 Divide each side by '-3'. r = 8 Simplifying r = 8
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