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Simplifying 0.8(r + -8) = r + 2 Reorder the terms: 0.8(-8 + r) = r + 2 (-8 * 0.8 + r * 0.8) = r + 2 (-6.4 + 0.8r) = r + 2 Reorder the terms: -6.4 + 0.8r = 2 + r Solving -6.4 + 0.8r = 2 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -6.4 + 0.8r + -1r = 2 + r + -1r Combine like terms: 0.8r + -1r = -0.2r -6.4 + -0.2r = 2 + r + -1r Combine like terms: r + -1r = 0 -6.4 + -0.2r = 2 + 0 -6.4 + -0.2r = 2 Add '6.4' to each side of the equation. -6.4 + 6.4 + -0.2r = 2 + 6.4 Combine like terms: -6.4 + 6.4 = 0.0 0.0 + -0.2r = 2 + 6.4 -0.2r = 2 + 6.4 Combine like terms: 2 + 6.4 = 8.4 -0.2r = 8.4 Divide each side by '-0.2'. r = -42 Simplifying r = -42
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