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Simplifying 12 + 7(6r + -4) = 11(6r + -8) Reorder the terms: 12 + 7(-4 + 6r) = 11(6r + -8) 12 + (-4 * 7 + 6r * 7) = 11(6r + -8) 12 + (-28 + 42r) = 11(6r + -8) Combine like terms: 12 + -28 = -16 -16 + 42r = 11(6r + -8) Reorder the terms: -16 + 42r = 11(-8 + 6r) -16 + 42r = (-8 * 11 + 6r * 11) -16 + 42r = (-88 + 66r) Solving -16 + 42r = -88 + 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. -16 + 42r + -66r = -88 + 66r + -66r Combine like terms: 42r + -66r = -24r -16 + -24r = -88 + 66r + -66r Combine like terms: 66r + -66r = 0 -16 + -24r = -88 + 0 -16 + -24r = -88 Add '16' to each side of the equation. -16 + 16 + -24r = -88 + 16 Combine like terms: -16 + 16 = 0 0 + -24r = -88 + 16 -24r = -88 + 16 Combine like terms: -88 + 16 = -72 -24r = -72 Divide each side by '-24'. r = 3 Simplifying r = 3
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