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Simplifying -5(2 + -7r) + -2r = -175 (2 * -5 + -7r * -5) + -2r = -175 (-10 + 35r) + -2r = -175 Combine like terms: 35r + -2r = 33r -10 + 33r = -175 Solving -10 + 33r = -175 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 33r = -175 + 10 Combine like terms: -10 + 10 = 0 0 + 33r = -175 + 10 33r = -175 + 10 Combine like terms: -175 + 10 = -165 33r = -165 Divide each side by '33'. r = -5 Simplifying r = -5
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