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Simplifying -6 + -6r = -4(4r + -3) + -8r Reorder the terms: -6 + -6r = -4(-3 + 4r) + -8r -6 + -6r = (-3 * -4 + 4r * -4) + -8r -6 + -6r = (12 + -16r) + -8r Combine like terms: -16r + -8r = -24r -6 + -6r = 12 + -24r Solving -6 + -6r = 12 + -24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '24r' to each side of the equation. -6 + -6r + 24r = 12 + -24r + 24r Combine like terms: -6r + 24r = 18r -6 + 18r = 12 + -24r + 24r Combine like terms: -24r + 24r = 0 -6 + 18r = 12 + 0 -6 + 18r = 12 Add '6' to each side of the equation. -6 + 6 + 18r = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 18r = 12 + 6 18r = 12 + 6 Combine like terms: 12 + 6 = 18 18r = 18 Divide each side by '18'. r = 1 Simplifying r = 1
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