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Simplifying 7(0.1d + -1) = d + 5 Reorder the terms: 7(-1 + 0.1d) = d + 5 (-1 * 7 + 0.1d * 7) = d + 5 (-7 + 0.7d) = d + 5 Reorder the terms: -7 + 0.7d = 5 + d Solving -7 + 0.7d = 5 + d 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. -7 + 0.7d + -1d = 5 + d + -1d Combine like terms: 0.7d + -1d = -0.3d -7 + -0.3d = 5 + d + -1d Combine like terms: d + -1d = 0 -7 + -0.3d = 5 + 0 -7 + -0.3d = 5 Add '7' to each side of the equation. -7 + 7 + -0.3d = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -0.3d = 5 + 7 -0.3d = 5 + 7 Combine like terms: 5 + 7 = 12 -0.3d = 12 Divide each side by '-0.3'. d = -40 Simplifying d = -40
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