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Simplifying 2d + 7 = 4d + 3(2d + -5) Reorder the terms: 7 + 2d = 4d + 3(2d + -5) Reorder the terms: 7 + 2d = 4d + 3(-5 + 2d) 7 + 2d = 4d + (-5 * 3 + 2d * 3) 7 + 2d = 4d + (-15 + 6d) Reorder the terms: 7 + 2d = -15 + 4d + 6d Combine like terms: 4d + 6d = 10d 7 + 2d = -15 + 10d Solving 7 + 2d = -15 + 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. 7 + 2d + -10d = -15 + 10d + -10d Combine like terms: 2d + -10d = -8d 7 + -8d = -15 + 10d + -10d Combine like terms: 10d + -10d = 0 7 + -8d = -15 + 0 7 + -8d = -15 Add '-7' to each side of the equation. 7 + -7 + -8d = -15 + -7 Combine like terms: 7 + -7 = 0 0 + -8d = -15 + -7 -8d = -15 + -7 Combine like terms: -15 + -7 = -22 -8d = -22 Divide each side by '-8'. d = 2.75 Simplifying d = 2.75
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