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Simplifying -5(-8r + 3) = -3(-2 + 3r) Reorder the terms: -5(3 + -8r) = -3(-2 + 3r) (3 * -5 + -8r * -5) = -3(-2 + 3r) (-15 + 40r) = -3(-2 + 3r) -15 + 40r = (-2 * -3 + 3r * -3) -15 + 40r = (6 + -9r) Solving -15 + 40r = 6 + -9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '9r' to each side of the equation. -15 + 40r + 9r = 6 + -9r + 9r Combine like terms: 40r + 9r = 49r -15 + 49r = 6 + -9r + 9r Combine like terms: -9r + 9r = 0 -15 + 49r = 6 + 0 -15 + 49r = 6 Add '15' to each side of the equation. -15 + 15 + 49r = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 49r = 6 + 15 49r = 6 + 15 Combine like terms: 6 + 15 = 21 49r = 21 Divide each side by '49'. r = 0.4285714286 Simplifying r = 0.4285714286
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