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Simplifying -6r + -6(r + 4) = 6(9 + 11r) Reorder the terms: -6r + -6(4 + r) = 6(9 + 11r) -6r + (4 * -6 + r * -6) = 6(9 + 11r) -6r + (-24 + -6r) = 6(9 + 11r) Reorder the terms: -24 + -6r + -6r = 6(9 + 11r) Combine like terms: -6r + -6r = -12r -24 + -12r = 6(9 + 11r) -24 + -12r = (9 * 6 + 11r * 6) -24 + -12r = (54 + 66r) Solving -24 + -12r = 54 + 66r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-66r' to each side of the equation. -24 + -12r + -66r = 54 + 66r + -66r Combine like terms: -12r + -66r = -78r -24 + -78r = 54 + 66r + -66r Combine like terms: 66r + -66r = 0 -24 + -78r = 54 + 0 -24 + -78r = 54 Add '24' to each side of the equation. -24 + 24 + -78r = 54 + 24 Combine like terms: -24 + 24 = 0 0 + -78r = 54 + 24 -78r = 54 + 24 Combine like terms: 54 + 24 = 78 -78r = 78 Divide each side by '-78'. r = -1 Simplifying r = -1
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