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Simplifying 150 + -7d = 120 + -5d Solving 150 + -7d = 120 + -5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '5d' to each side of the equation. 150 + -7d + 5d = 120 + -5d + 5d Combine like terms: -7d + 5d = -2d 150 + -2d = 120 + -5d + 5d Combine like terms: -5d + 5d = 0 150 + -2d = 120 + 0 150 + -2d = 120 Add '-150' to each side of the equation. 150 + -150 + -2d = 120 + -150 Combine like terms: 150 + -150 = 0 0 + -2d = 120 + -150 -2d = 120 + -150 Combine like terms: 120 + -150 = -30 -2d = -30 Divide each side by '-2'. d = 15 Simplifying d = 15
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