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Simplifying d + 130 = -4d + -30 Reorder the terms: 130 + d = -4d + -30 Reorder the terms: 130 + d = -30 + -4d Solving 130 + d = -30 + -4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '4d' to each side of the equation. 130 + d + 4d = -30 + -4d + 4d Combine like terms: d + 4d = 5d 130 + 5d = -30 + -4d + 4d Combine like terms: -4d + 4d = 0 130 + 5d = -30 + 0 130 + 5d = -30 Add '-130' to each side of the equation. 130 + -130 + 5d = -30 + -130 Combine like terms: 130 + -130 = 0 0 + 5d = -30 + -130 5d = -30 + -130 Combine like terms: -30 + -130 = -160 5d = -160 Divide each side by '5'. d = -32 Simplifying d = -32
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