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Simplifying 0.5(2d + -6) = 0.2(4x + -10) Reorder the terms: 0.5(-6 + 2d) = 0.2(4x + -10) (-6 * 0.5 + 2d * 0.5) = 0.2(4x + -10) (-3 + 1d) = 0.2(4x + -10) Reorder the terms: -3 + 1d = 0.2(-10 + 4x) -3 + 1d = (-10 * 0.2 + 4x * 0.2) -3 + 1d = (-2 + 0.8x) Solving -3 + 1d = -2 + 0.8x Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 1d = -2 + 3 + 0.8x Combine like terms: -3 + 3 = 0 0 + 1d = -2 + 3 + 0.8x 1d = -2 + 3 + 0.8x Combine like terms: -2 + 3 = 1 1d = 1 + 0.8x Divide each side by '1'. d = 1 + 0.8x Simplifying d = 1 + 0.8x
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