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Simplifying 6(-7 + r) = -5(r + -7) (-7 * 6 + r * 6) = -5(r + -7) (-42 + 6r) = -5(r + -7) Reorder the terms: -42 + 6r = -5(-7 + r) -42 + 6r = (-7 * -5 + r * -5) -42 + 6r = (35 + -5r) Solving -42 + 6r = 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. -42 + 6r + 5r = 35 + -5r + 5r Combine like terms: 6r + 5r = 11r -42 + 11r = 35 + -5r + 5r Combine like terms: -5r + 5r = 0 -42 + 11r = 35 + 0 -42 + 11r = 35 Add '42' to each side of the equation. -42 + 42 + 11r = 35 + 42 Combine like terms: -42 + 42 = 0 0 + 11r = 35 + 42 11r = 35 + 42 Combine like terms: 35 + 42 = 77 11r = 77 Divide each side by '11'. r = 7 Simplifying r = 7
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