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Simplifying 0.5(2r + -4) = 3r + -5 Reorder the terms: 0.5(-4 + 2r) = 3r + -5 (-4 * 0.5 + 2r * 0.5) = 3r + -5 (-2 + 1r) = 3r + -5 Reorder the terms: -2 + 1r = -5 + 3r Solving -2 + 1r = -5 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -2 + 1r + -3r = -5 + 3r + -3r Combine like terms: 1r + -3r = -2r -2 + -2r = -5 + 3r + -3r Combine like terms: 3r + -3r = 0 -2 + -2r = -5 + 0 -2 + -2r = -5 Add '2' to each side of the equation. -2 + 2 + -2r = -5 + 2 Combine like terms: -2 + 2 = 0 0 + -2r = -5 + 2 -2r = -5 + 2 Combine like terms: -5 + 2 = -3 -2r = -3 Divide each side by '-2'. r = 1.5 Simplifying r = 1.5
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