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Simplifying -6(r + -8) = 7(r + 5) Reorder the terms: -6(-8 + r) = 7(r + 5) (-8 * -6 + r * -6) = 7(r + 5) (48 + -6r) = 7(r + 5) Reorder the terms: 48 + -6r = 7(5 + r) 48 + -6r = (5 * 7 + r * 7) 48 + -6r = (35 + 7r) Solving 48 + -6r = 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. 48 + -6r + -7r = 35 + 7r + -7r Combine like terms: -6r + -7r = -13r 48 + -13r = 35 + 7r + -7r Combine like terms: 7r + -7r = 0 48 + -13r = 35 + 0 48 + -13r = 35 Add '-48' to each side of the equation. 48 + -48 + -13r = 35 + -48 Combine like terms: 48 + -48 = 0 0 + -13r = 35 + -48 -13r = 35 + -48 Combine like terms: 35 + -48 = -13 -13r = -13 Divide each side by '-13'. r = 1 Simplifying r = 1
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