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Simplifying -6.2(4s + 6) + -2.2(3d + -5) = 0 Reorder the terms: -6.2(6 + 4s) + -2.2(3d + -5) = 0 (6 * -6.2 + 4s * -6.2) + -2.2(3d + -5) = 0 (-37.2 + -24.8s) + -2.2(3d + -5) = 0 Reorder the terms: -37.2 + -24.8s + -2.2(-5 + 3d) = 0 -37.2 + -24.8s + (-5 * -2.2 + 3d * -2.2) = 0 -37.2 + -24.8s + (11 + -6.6d) = 0 Reorder the terms: -37.2 + 11 + -6.6d + -24.8s = 0 Combine like terms: -37.2 + 11 = -26.2 -26.2 + -6.6d + -24.8s = 0 Solving -26.2 + -6.6d + -24.8s = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '26.2' to each side of the equation. -26.2 + -6.6d + 26.2 + -24.8s = 0 + 26.2 Reorder the terms: -26.2 + 26.2 + -6.6d + -24.8s = 0 + 26.2 Combine like terms: -26.2 + 26.2 = 0.0 0.0 + -6.6d + -24.8s = 0 + 26.2 -6.6d + -24.8s = 0 + 26.2 Combine like terms: 0 + 26.2 = 26.2 -6.6d + -24.8s = 26.2 Add '24.8s' to each side of the equation. -6.6d + -24.8s + 24.8s = 26.2 + 24.8s Combine like terms: -24.8s + 24.8s = 0.0 -6.6d + 0.0 = 26.2 + 24.8s -6.6d = 26.2 + 24.8s Divide each side by '-6.6'. d = -3.96969697 + -3.757575758s Simplifying d = -3.96969697 + -3.757575758s
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