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Simplifying -4(6r + 3) + 3(r + -8) = 0 Reorder the terms: -4(3 + 6r) + 3(r + -8) = 0 (3 * -4 + 6r * -4) + 3(r + -8) = 0 (-12 + -24r) + 3(r + -8) = 0 Reorder the terms: -12 + -24r + 3(-8 + r) = 0 -12 + -24r + (-8 * 3 + r * 3) = 0 -12 + -24r + (-24 + 3r) = 0 Reorder the terms: -12 + -24 + -24r + 3r = 0 Combine like terms: -12 + -24 = -36 -36 + -24r + 3r = 0 Combine like terms: -24r + 3r = -21r -36 + -21r = 0 Solving -36 + -21r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -21r = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -21r = 0 + 36 -21r = 0 + 36 Combine like terms: 0 + 36 = 36 -21r = 36 Divide each side by '-21'. r = -1.714285714 Simplifying r = -1.714285714
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