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Simplifying r + -12 + -4r = -6(6 + -8r) + 6(1 + -9r) Reorder the terms: -12 + r + -4r = -6(6 + -8r) + 6(1 + -9r) Combine like terms: r + -4r = -3r -12 + -3r = -6(6 + -8r) + 6(1 + -9r) -12 + -3r = (6 * -6 + -8r * -6) + 6(1 + -9r) -12 + -3r = (-36 + 48r) + 6(1 + -9r) -12 + -3r = -36 + 48r + (1 * 6 + -9r * 6) -12 + -3r = -36 + 48r + (6 + -54r) Reorder the terms: -12 + -3r = -36 + 6 + 48r + -54r Combine like terms: -36 + 6 = -30 -12 + -3r = -30 + 48r + -54r Combine like terms: 48r + -54r = -6r -12 + -3r = -30 + -6r Solving -12 + -3r = -30 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. -12 + -3r + 6r = -30 + -6r + 6r Combine like terms: -3r + 6r = 3r -12 + 3r = -30 + -6r + 6r Combine like terms: -6r + 6r = 0 -12 + 3r = -30 + 0 -12 + 3r = -30 Add '12' to each side of the equation. -12 + 12 + 3r = -30 + 12 Combine like terms: -12 + 12 = 0 0 + 3r = -30 + 12 3r = -30 + 12 Combine like terms: -30 + 12 = -18 3r = -18 Divide each side by '3'. r = -6 Simplifying r = -6
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