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Simplifying 30 + 6r = 4(4r + -6) + 8r Reorder the terms: 30 + 6r = 4(-6 + 4r) + 8r 30 + 6r = (-6 * 4 + 4r * 4) + 8r 30 + 6r = (-24 + 16r) + 8r Combine like terms: 16r + 8r = 24r 30 + 6r = -24 + 24r Solving 30 + 6r = -24 + 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. 30 + 6r + -24r = -24 + 24r + -24r Combine like terms: 6r + -24r = -18r 30 + -18r = -24 + 24r + -24r Combine like terms: 24r + -24r = 0 30 + -18r = -24 + 0 30 + -18r = -24 Add '-30' to each side of the equation. 30 + -30 + -18r = -24 + -30 Combine like terms: 30 + -30 = 0 0 + -18r = -24 + -30 -18r = -24 + -30 Combine like terms: -24 + -30 = -54 -18r = -54 Divide each side by '-18'. r = 3 Simplifying r = 3
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