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Simplifying 7(-3r + 2) + -1 = -35 + -5r Reorder the terms: 7(2 + -3r) + -1 = -35 + -5r (2 * 7 + -3r * 7) + -1 = -35 + -5r (14 + -21r) + -1 = -35 + -5r Reorder the terms: 14 + -1 + -21r = -35 + -5r Combine like terms: 14 + -1 = 13 13 + -21r = -35 + -5r Solving 13 + -21r = -35 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. 13 + -21r + 5r = -35 + -5r + 5r Combine like terms: -21r + 5r = -16r 13 + -16r = -35 + -5r + 5r Combine like terms: -5r + 5r = 0 13 + -16r = -35 + 0 13 + -16r = -35 Add '-13' to each side of the equation. 13 + -13 + -16r = -35 + -13 Combine like terms: 13 + -13 = 0 0 + -16r = -35 + -13 -16r = -35 + -13 Combine like terms: -35 + -13 = -48 -16r = -48 Divide each side by '-16'. r = 3 Simplifying r = 3
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