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Simplifying 4(2r + -8) = 7r + 10 Reorder the terms: 4(-8 + 2r) = 7r + 10 (-8 * 4 + 2r * 4) = 7r + 10 (-32 + 8r) = 7r + 10 Reorder the terms: -32 + 8r = 10 + 7r Solving -32 + 8r = 10 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. -32 + 8r + -7r = 10 + 7r + -7r Combine like terms: 8r + -7r = 1r -32 + 1r = 10 + 7r + -7r Combine like terms: 7r + -7r = 0 -32 + 1r = 10 + 0 -32 + 1r = 10 Add '32' to each side of the equation. -32 + 32 + 1r = 10 + 32 Combine like terms: -32 + 32 = 0 0 + 1r = 10 + 32 1r = 10 + 32 Combine like terms: 10 + 32 = 42 1r = 42 Divide each side by '1'. r = 42 Simplifying r = 42
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