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Simplifying 12 = 6(-6 + -8r) + -6(r + -8) 12 = (-6 * 6 + -8r * 6) + -6(r + -8) 12 = (-36 + -48r) + -6(r + -8) Reorder the terms: 12 = -36 + -48r + -6(-8 + r) 12 = -36 + -48r + (-8 * -6 + r * -6) 12 = -36 + -48r + (48 + -6r) Reorder the terms: 12 = -36 + 48 + -48r + -6r Combine like terms: -36 + 48 = 12 12 = 12 + -48r + -6r Combine like terms: -48r + -6r = -54r 12 = 12 + -54r Add '-12' to each side of the equation. 12 + -12 = 12 + -12 + -54r Combine like terms: 12 + -12 = 0 0 = 12 + -12 + -54r Combine like terms: 12 + -12 = 0 0 = 0 + -54r 0 = -54r Solving 0 = -54r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '54r' to each side of the equation. 0 + 54r = -54r + 54r Remove the zero: 54r = -54r + 54r Combine like terms: -54r + 54r = 0 54r = 0 Divide each side by '54'. r = 0 Simplifying r = 0
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