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Simplifying 4 + -0.8(d + -11) = 0.2(5d + -11) Reorder the terms: 4 + -0.8(-11 + d) = 0.2(5d + -11) 4 + (-11 * -0.8 + d * -0.8) = 0.2(5d + -11) 4 + (8.8 + -0.8d) = 0.2(5d + -11) Combine like terms: 4 + 8.8 = 12.8 12.8 + -0.8d = 0.2(5d + -11) Reorder the terms: 12.8 + -0.8d = 0.2(-11 + 5d) 12.8 + -0.8d = (-11 * 0.2 + 5d * 0.2) 12.8 + -0.8d = (-2.2 + 1d) Solving 12.8 + -0.8d = -2.2 + 1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. 12.8 + -0.8d + -1d = -2.2 + 1d + -1d Combine like terms: -0.8d + -1d = -1.8d 12.8 + -1.8d = -2.2 + 1d + -1d Combine like terms: 1d + -1d = 0 12.8 + -1.8d = -2.2 + 0 12.8 + -1.8d = -2.2 Add '-12.8' to each side of the equation. 12.8 + -12.8 + -1.8d = -2.2 + -12.8 Combine like terms: 12.8 + -12.8 = 0.0 0.0 + -1.8d = -2.2 + -12.8 -1.8d = -2.2 + -12.8 Combine like terms: -2.2 + -12.8 = -15 -1.8d = -15 Divide each side by '-1.8'. d = 8.333333333 Simplifying d = 8.333333333
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