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Simplifying -44 = -8(4 + r) + 10r -44 = (4 * -8 + r * -8) + 10r -44 = (-32 + -8r) + 10r Combine like terms: -8r + 10r = 2r -44 = -32 + 2r Solving -44 = -32 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -44 + -2r = -32 + 2r + -2r Combine like terms: 2r + -2r = 0 -44 + -2r = -32 + 0 -44 + -2r = -32 Add '44' to each side of the equation. -44 + 44 + -2r = -32 + 44 Combine like terms: -44 + 44 = 0 0 + -2r = -32 + 44 -2r = -32 + 44 Combine like terms: -32 + 44 = 12 -2r = 12 Divide each side by '-2'. r = -6 Simplifying r = -6
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