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Simplifying 0.4(r + -2) = 0.15(r + -4) Reorder the terms: 0.4(-2 + r) = 0.15(r + -4) (-2 * 0.4 + r * 0.4) = 0.15(r + -4) (-0.8 + 0.4r) = 0.15(r + -4) Reorder the terms: -0.8 + 0.4r = 0.15(-4 + r) -0.8 + 0.4r = (-4 * 0.15 + r * 0.15) -0.8 + 0.4r = (-0.6 + 0.15r) Solving -0.8 + 0.4r = -0.6 + 0.15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.15r' to each side of the equation. -0.8 + 0.4r + -0.15r = -0.6 + 0.15r + -0.15r Combine like terms: 0.4r + -0.15r = 0.25r -0.8 + 0.25r = -0.6 + 0.15r + -0.15r Combine like terms: 0.15r + -0.15r = 0.00 -0.8 + 0.25r = -0.6 + 0.00 -0.8 + 0.25r = -0.6 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.25r = -0.6 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.25r = -0.6 + 0.8 0.25r = -0.6 + 0.8 Combine like terms: -0.6 + 0.8 = 0.2 0.25r = 0.2 Divide each side by '0.25'. r = 0.8 Simplifying r = 0.8
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