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Simplifying 10d + -45 = 3(d + -15) Reorder the terms: -45 + 10d = 3(d + -15) Reorder the terms: -45 + 10d = 3(-15 + d) -45 + 10d = (-15 * 3 + d * 3) -45 + 10d = (-45 + 3d) Add '45' to each side of the equation. -45 + 45 + 10d = -45 + 45 + 3d Combine like terms: -45 + 45 = 0 0 + 10d = -45 + 45 + 3d 10d = -45 + 45 + 3d Combine like terms: -45 + 45 = 0 10d = 0 + 3d 10d = 3d Solving 10d = 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. 10d + -3d = 3d + -3d Combine like terms: 10d + -3d = 7d 7d = 3d + -3d Combine like terms: 3d + -3d = 0 7d = 0 Divide each side by '7'. d = 0 Simplifying d = 0
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