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Simplifying 14.3(2d + -1) + -28.6d = 11.6 + -1(d + 14.2) Reorder the terms: 14.3(-1 + 2d) + -28.6d = 11.6 + -1(d + 14.2) (-1 * 14.3 + 2d * 14.3) + -28.6d = 11.6 + -1(d + 14.2) (-14.3 + 28.6d) + -28.6d = 11.6 + -1(d + 14.2) Combine like terms: 28.6d + -28.6d = 0.0 -14.3 + 0.0 = 11.6 + -1(d + 14.2) -14.3 = 11.6 + -1(d + 14.2) Reorder the terms: -14.3 = 11.6 + -1(14.2 + d) -14.3 = 11.6 + (14.2 * -1 + d * -1) -14.3 = 11.6 + (-14.2 + -1d) Combine like terms: 11.6 + -14.2 = -2.6 -14.3 = -2.6 + -1d Solving -14.3 = -2.6 + -1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add 'd' to each side of the equation. -14.3 + d = -2.6 + -1d + d Combine like terms: -1d + d = 0 -14.3 + d = -2.6 + 0 -14.3 + d = -2.6 Add '14.3' to each side of the equation. -14.3 + 14.3 + d = -2.6 + 14.3 Combine like terms: -14.3 + 14.3 = 0.0 0.0 + d = -2.6 + 14.3 d = -2.6 + 14.3 Combine like terms: -2.6 + 14.3 = 11.7 d = 11.7 Simplifying d = 11.7
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