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Simplifying 15.53 = 10.7 + 2.3(d + -10.7) Reorder the terms: 15.53 = 10.7 + 2.3(-10.7 + d) 15.53 = 10.7 + (-10.7 * 2.3 + d * 2.3) 15.53 = 10.7 + (-24.61 + 2.3d) Combine like terms: 10.7 + -24.61 = -13.91 15.53 = -13.91 + 2.3d Solving 15.53 = -13.91 + 2.3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2.3d' to each side of the equation. 15.53 + -2.3d = -13.91 + 2.3d + -2.3d Combine like terms: 2.3d + -2.3d = 0.0 15.53 + -2.3d = -13.91 + 0.0 15.53 + -2.3d = -13.91 Add '-15.53' to each side of the equation. 15.53 + -15.53 + -2.3d = -13.91 + -15.53 Combine like terms: 15.53 + -15.53 = 0.00 0.00 + -2.3d = -13.91 + -15.53 -2.3d = -13.91 + -15.53 Combine like terms: -13.91 + -15.53 = -29.44 -2.3d = -29.44 Divide each side by '-2.3'. d = 12.8 Simplifying d = 12.8
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