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Simplifying 2(8r + -4) = 8(7 + r) Reorder the terms: 2(-4 + 8r) = 8(7 + r) (-4 * 2 + 8r * 2) = 8(7 + r) (-8 + 16r) = 8(7 + r) -8 + 16r = (7 * 8 + r * 8) -8 + 16r = (56 + 8r) Solving -8 + 16r = 56 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -8 + 16r + -8r = 56 + 8r + -8r Combine like terms: 16r + -8r = 8r -8 + 8r = 56 + 8r + -8r Combine like terms: 8r + -8r = 0 -8 + 8r = 56 + 0 -8 + 8r = 56 Add '8' to each side of the equation. -8 + 8 + 8r = 56 + 8 Combine like terms: -8 + 8 = 0 0 + 8r = 56 + 8 8r = 56 + 8 Combine like terms: 56 + 8 = 64 8r = 64 Divide each side by '8'. r = 8 Simplifying r = 8
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