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Simplifying 0.3(2r + -5) = 8r + -9 Reorder the terms: 0.3(-5 + 2r) = 8r + -9 (-5 * 0.3 + 2r * 0.3) = 8r + -9 (-1.5 + 0.6r) = 8r + -9 Reorder the terms: -1.5 + 0.6r = -9 + 8r Solving -1.5 + 0.6r = -9 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -1.5 + 0.6r + -8r = -9 + 8r + -8r Combine like terms: 0.6r + -8r = -7.4r -1.5 + -7.4r = -9 + 8r + -8r Combine like terms: 8r + -8r = 0 -1.5 + -7.4r = -9 + 0 -1.5 + -7.4r = -9 Add '1.5' to each side of the equation. -1.5 + 1.5 + -7.4r = -9 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -7.4r = -9 + 1.5 -7.4r = -9 + 1.5 Combine like terms: -9 + 1.5 = -7.5 -7.4r = -7.5 Divide each side by '-7.4'. r = 1.013513514 Simplifying r = 1.013513514
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