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Simplifying 4d + -40 = 7(-2d + 2) Reorder the terms: -40 + 4d = 7(-2d + 2) Reorder the terms: -40 + 4d = 7(2 + -2d) -40 + 4d = (2 * 7 + -2d * 7) -40 + 4d = (14 + -14d) Solving -40 + 4d = 14 + -14d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '14d' to each side of the equation. -40 + 4d + 14d = 14 + -14d + 14d Combine like terms: 4d + 14d = 18d -40 + 18d = 14 + -14d + 14d Combine like terms: -14d + 14d = 0 -40 + 18d = 14 + 0 -40 + 18d = 14 Add '40' to each side of the equation. -40 + 40 + 18d = 14 + 40 Combine like terms: -40 + 40 = 0 0 + 18d = 14 + 40 18d = 14 + 40 Combine like terms: 14 + 40 = 54 18d = 54 Divide each side by '18'. d = 3 Simplifying d = 3
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