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Simplifying 2r + -5(z + 2) = -8 + -2z Reorder the terms: 2r + -5(2 + z) = -8 + -2z 2r + (2 * -5 + z * -5) = -8 + -2z 2r + (-10 + -5z) = -8 + -2z Reorder the terms: -10 + 2r + -5z = -8 + -2z Solving -10 + 2r + -5z = -8 + -2z 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 + 2r + 10 + -5z = -8 + 10 + -2z Reorder the terms: -10 + 10 + 2r + -5z = -8 + 10 + -2z Combine like terms: -10 + 10 = 0 0 + 2r + -5z = -8 + 10 + -2z 2r + -5z = -8 + 10 + -2z Combine like terms: -8 + 10 = 2 2r + -5z = 2 + -2z Add '5z' to each side of the equation. 2r + -5z + 5z = 2 + -2z + 5z Combine like terms: -5z + 5z = 0 2r + 0 = 2 + -2z + 5z 2r = 2 + -2z + 5z Combine like terms: -2z + 5z = 3z 2r = 2 + 3z Divide each side by '2'. r = 1 + 1.5z Simplifying r = 1 + 1.5z
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