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Simplifying 4r + -3(2r + 8) = 10 Reorder the terms: 4r + -3(8 + 2r) = 10 4r + (8 * -3 + 2r * -3) = 10 4r + (-24 + -6r) = 10 Reorder the terms: -24 + 4r + -6r = 10 Combine like terms: 4r + -6r = -2r -24 + -2r = 10 Solving -24 + -2r = 10 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -2r = 10 + 24 Combine like terms: -24 + 24 = 0 0 + -2r = 10 + 24 -2r = 10 + 24 Combine like terms: 10 + 24 = 34 -2r = 34 Divide each side by '-2'. r = -17 Simplifying r = -17
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