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Simplifying d + 2 + 5(d + -1) = d + 2(3d + -5) Reorder the terms: d + 2 + 5(-1 + d) = d + 2(3d + -5) d + 2 + (-1 * 5 + d * 5) = d + 2(3d + -5) d + 2 + (-5 + 5d) = d + 2(3d + -5) Reorder the terms: 2 + -5 + d + 5d = d + 2(3d + -5) Combine like terms: 2 + -5 = -3 -3 + d + 5d = d + 2(3d + -5) Combine like terms: d + 5d = 6d -3 + 6d = d + 2(3d + -5) Reorder the terms: -3 + 6d = d + 2(-5 + 3d) -3 + 6d = d + (-5 * 2 + 3d * 2) -3 + 6d = d + (-10 + 6d) Reorder the terms: -3 + 6d = -10 + d + 6d Combine like terms: d + 6d = 7d -3 + 6d = -10 + 7d Solving -3 + 6d = -10 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. -3 + 6d + -7d = -10 + 7d + -7d Combine like terms: 6d + -7d = -1d -3 + -1d = -10 + 7d + -7d Combine like terms: 7d + -7d = 0 -3 + -1d = -10 + 0 -3 + -1d = -10 Add '3' to each side of the equation. -3 + 3 + -1d = -10 + 3 Combine like terms: -3 + 3 = 0 0 + -1d = -10 + 3 -1d = -10 + 3 Combine like terms: -10 + 3 = -7 -1d = -7 Divide each side by '-1'. d = 7 Simplifying d = 7
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