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Simplifying 4(-1 + -10r) = -6 + -39.5r (-1 * 4 + -10r * 4) = -6 + -39.5r (-4 + -40r) = -6 + -39.5r Solving -4 + -40r = -6 + -39.5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '39.5r' to each side of the equation. -4 + -40r + 39.5r = -6 + -39.5r + 39.5r Combine like terms: -40r + 39.5r = -0.5r -4 + -0.5r = -6 + -39.5r + 39.5r Combine like terms: -39.5r + 39.5r = 0.0 -4 + -0.5r = -6 + 0.0 -4 + -0.5r = -6 Add '4' to each side of the equation. -4 + 4 + -0.5r = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -0.5r = -6 + 4 -0.5r = -6 + 4 Combine like terms: -6 + 4 = -2 -0.5r = -2 Divide each side by '-0.5'. r = 4 Simplifying r = 4
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