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Simplifying 12 + -0.8(r + -16) = 0.4(11r + -16) Reorder the terms: 12 + -0.8(-16 + r) = 0.4(11r + -16) 12 + (-16 * -0.8 + r * -0.8) = 0.4(11r + -16) 12 + (12.8 + -0.8r) = 0.4(11r + -16) Combine like terms: 12 + 12.8 = 24.8 24.8 + -0.8r = 0.4(11r + -16) Reorder the terms: 24.8 + -0.8r = 0.4(-16 + 11r) 24.8 + -0.8r = (-16 * 0.4 + 11r * 0.4) 24.8 + -0.8r = (-6.4 + 4.4r) Solving 24.8 + -0.8r = -6.4 + 4.4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4.4r' to each side of the equation. 24.8 + -0.8r + -4.4r = -6.4 + 4.4r + -4.4r Combine like terms: -0.8r + -4.4r = -5.2r 24.8 + -5.2r = -6.4 + 4.4r + -4.4r Combine like terms: 4.4r + -4.4r = 0.0 24.8 + -5.2r = -6.4 + 0.0 24.8 + -5.2r = -6.4 Add '-24.8' to each side of the equation. 24.8 + -24.8 + -5.2r = -6.4 + -24.8 Combine like terms: 24.8 + -24.8 = 0.0 0.0 + -5.2r = -6.4 + -24.8 -5.2r = -6.4 + -24.8 Combine like terms: -6.4 + -24.8 = -31.2 -5.2r = -31.2 Divide each side by '-5.2'. r = 6 Simplifying r = 6
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