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Simplifying -7 = 3(d + -5) + -1d Reorder the terms: -7 = 3(-5 + d) + -1d -7 = (-5 * 3 + d * 3) + -1d -7 = (-15 + 3d) + -1d Combine like terms: 3d + -1d = 2d -7 = -15 + 2d Solving -7 = -15 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. -7 + -2d = -15 + 2d + -2d Combine like terms: 2d + -2d = 0 -7 + -2d = -15 + 0 -7 + -2d = -15 Add '7' to each side of the equation. -7 + 7 + -2d = -15 + 7 Combine like terms: -7 + 7 = 0 0 + -2d = -15 + 7 -2d = -15 + 7 Combine like terms: -15 + 7 = -8 -2d = -8 Divide each side by '-2'. d = 4 Simplifying d = 4
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