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Simplifying -2 + 2(-8 + 8r) = 4r + 30 -2 + (-8 * 2 + 8r * 2) = 4r + 30 -2 + (-16 + 16r) = 4r + 30 Combine like terms: -2 + -16 = -18 -18 + 16r = 4r + 30 Reorder the terms: -18 + 16r = 30 + 4r Solving -18 + 16r = 30 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -18 + 16r + -4r = 30 + 4r + -4r Combine like terms: 16r + -4r = 12r -18 + 12r = 30 + 4r + -4r Combine like terms: 4r + -4r = 0 -18 + 12r = 30 + 0 -18 + 12r = 30 Add '18' to each side of the equation. -18 + 18 + 12r = 30 + 18 Combine like terms: -18 + 18 = 0 0 + 12r = 30 + 18 12r = 30 + 18 Combine like terms: 30 + 18 = 48 12r = 48 Divide each side by '12'. r = 4 Simplifying r = 4
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